IAA 5.1g Applications of Quadratics Name: Pd . Steps for word / real life problems. 1. Visualize – Draw a picture or diagram. 2. Get Variables –include units. 3. Write equation(s) & solve Solve the following word problems e1) The difference between two numbers is 9 and their product is 70. What are the numbers? The vertical motion model is: h(t) = -16t2 + vit + hi where h is height based on time, vi is initial velocity and hi is initial height. From Physical Science you may recognize: d = 1/2at2 + vit + di . Acceleration from gravity is 32 ft/sec2 downward. e4) A rock is thrown upward from the ground with a velocity of 64 feet per second. a. Write the equation modeling h(t): height based upon time in seconds. b. Sketch and label a graph of the situation e2) The length of a rectangular garden is 5 feet greater than the width. The area of the garden is 300 square feet. Find the length and the width. c. How long does it take to reach the maximum height? What is it? e3) The product of two consecutive odd numbers is 143. What are the numbers? d. How long till it hits the ground again? e. What does h(3)= ? What does it mean? f. What are the domain and range of this function? What does d(2) mean? What does it =? c. What are the domain and range of this function? d. If it’s area is 2080 square feet.e5) A punkin chuckin trebuchet launches your jack’ with a vertical velocity of 96 ft/sec. a. Sketch and label a graph of the situation Practice Problems 1) The distance a dolphin jumps out of the water based upon time in seconds is modeled by d(t) = -t2 + 6t. If it launched at a 45o angle so the horizontal velocity is also 96 ft/sec. Write the equation modeling h(t) b. how far did it fly? 3): The width of a pool is 12 feet shorter than it’s length. How long will it take for the pumpkin to reach 128 feet? How long will it take to come back down to that height on the way down? 2): The difference between two numbers is 4 and their product is 77. What is the maximum height of the pumpkin f. Sketch and label graph of this situation b. a. find the length and the width. How long will the pumpkin be in the air if the ground is flat? e. What are the numbers? d. g) What is the domain and range of h(t) . d(5) = _______ d(7) = ________ c. How long does it take for them to land in a safety net that’s 148 feet above the ground? e) What is the domain and range of h(t) f) What are the t-intercepts? f) Does it travel farther that the trebuchet? . c. a. the other travels east. the distance between the cars was four miles more than three times the distance traveled by the car heading east. Find the distance between the cars at that time. The top of the ladder touches the wall at a height of 15 feet. One car travels north. (Think Pythagorean) 6) Two cars leave an intersection. What is the maximum height of the pumpkin? 7) An acrobat is shot upward from a cannon at 96 ft/sec from an initial height of 20 ft. but vertically at only 80 ft/sec. When the car traveling north had gone 24 miles. Find the distance from the wall to the bottom of the ladder if the length of the ladder is one foot more than twice its distance from the wall.4) A pumpkin air cannon fires the pumpkin horizontally at 120 ft/sec. h(1) = ______ h(2)= __________ d. Sketch and label a graph of the situation 5) A ladder is resting against a wall. Write the equation modeling h(t) b. When the eruption was most intense. shooting lava hundreds of feet into the air. How long will it take to hit the ground? How fast is it going when it hits? 11) The volcanic cinder cone Puu Puai in Hawaii was formed in 1959 when a massive lava fountain erupted at Kilauea Iki Crater. How big must you make the box to fit it? .8) In anger. you throw a calculator down from a 240 foot building with an initial velocity of 32 ft/sec. the height h (in feet) of the lava t seconds after being ejected from the ground could be modeled by h = -16t2 + 350t. a) What was the lava’s maximum altitude? ____________ 9) What are the dimensions of a square that would cover the same amount of space as a circle with a diameter of 4 meters? b) For how long was the lava in the air? _____________ 10) The ‘Giganto’ Pizza has six times the area of the large 18” pizza and it only costs $50 (4 times more than the large). What are the numbers? n (n – 9) = 70 n2 – 9n = 70 n2 – 9n – 70 = 0 (n + 5)(n – 14) = 0 So n = -5 or 14. Write the equation modeling h(t): height based upon time in seconds. What are the numbers? x(x + 2) = 143 x2 + 2x – 143 = 0 (x + 13)(x – 11) = 0 X = -13 or 11.6t + 8) 0 = -16(t – 4)(t – 2) t= 2 sec on way up. What are the domain and range of this function? D {0 < t < 4} R {o < h < 64} e5) A punkin chuckin trebuchet launches your jack’ with a vertical velocity of 96 ft/sec. Sketch and label a graph of the situation 0 = -16t2 + 96t 0 = -16t(t – 6) t = 0 or 6 seconds x – intercepts Vertex h(3) = -16(3)2 + 96(3) =144 ft c.1g Applications of Quadratics . The area of the rectangle is 300 square feet. How long will it take for the pumpkin to reach 128 feet? How long will it take to come back down to that height on the way down? 0 = -16t2 + 96t – 128 0 = -16(t2 . w (w + 5) = 300 w2 + 5w – 300 = 0 (w + 20)(w – 15) = 0 W = 15 or -20. How long will the pumpkin be in the air if the ground is flat? 6 seconds . a. How long till it hits the ground again? 4 seconds e. Since one is n – 6. a. Write the equation modeling h(t) h(t) = -16t2 + 96t + 0 b. l = 20 e3) The product of two consecutive odd numbers is 143. Find the length and the width. So 11 & 13 or -13 & -11 e4) A rock is thrown upward from the ground with a velocity of 64 feet per second.KEY Solve the following word problems e1) The difference between two numbers is 9 and their product is 70. must be 15 w = 15. How long does it take to reach the maximum height? What is it? h(2) = -16(2)(2 – 4) = 64 ft d. h(t) = -16t2 + 64t + 0 b. 4 on way down d. Sketch and label a graph of the situation 0 = -16t(t – 4) X intercepts at 0 or 4 seconds c. What does h(3)= ? What does it mean? h(3) = -16(3)2 + 64(3) = 48 height after 3 seconds f. then two solutions: 14 & 5 or -5 & -14 e2) The length of a rectangular garden is 5 feet greater than the width.5. R{ 0 < d(t) < 9} d. L(L – 12) = 2080 L2 – 12L -2080 = 0 (L – 52)(L + 40) = 0 L = 52 (can’t be -40) L = 52 & w = 40 4) A pumpkin air cannon fires the pumpkin horizontally at 120 ft/sec.e. b. What does d(2) mean? What does it =? Distance after 2 seconds D(2) = -2(2 – 6) = 8 feet c. What are the numbers? n (n – 4) = 77 n2 – 4n – 77 = 0 (n – 11)(n + 7) = 0 n = 11 or -7 so 11 & 7 or -7 & -11 . a. If it’s area is 2080 square feet. R{0 < h(t) < 144} Practice Problems 1) The distance a dolphin jumps out of the water based upon time in seconds is modeled by d(t) = -t2 + 6t. d(5) =-5(5– 6) = 5 ft d(7) = not possible h(1) =-16*1(1–5)= 64 ft. If it launched at a 45o angle so the horizontal velocity is also 96 ft/sec. Sketch and label graph of this situation 0= -t2 + 6t = -t(t – 6) X intercepts @ t = 0 and 6 seconds Vertex at 3 seconds h(3) = 9 ft 3) The width of a pool is 12 feet shorter than it’s length. 0) (5. 0) f) Does it travel farther that the trebuchet? D = vt = 120(5) = 600ft Yes – farther than trebuchet’s 576 Ft 2): The difference between two numbers is 4 and their product is 77. What is the maximum height of the pumpkin? 100 ft e) What is the domain and range of h(t) D { 0 < t < 5} R{0 < h(t) < 144} f) What are the t-intercepts? (0. a. find the length and the width. h(2)= -16(2)(2– 5) = 96 ft d. but vertically at only 80 ft/sec. Sketch and label a graph of the situation 0 = -16t2 +80t (find time till on ground) 0 = -16t(t – 5) X intercepts @ t= 0 or 5 secs Vertex @ h(2. how far did it fly? d= v(t) = 96 ft/sec (6 seconds) d = 576 ft g) What is the domain and range of h(t) D {0 < t < 6}. What are the domain and range of this function? D {0 < t < 6}.5) = 100 ft c. What is the maximum height of the pumpkin 144ft at vertex (maximum) f. Write the equation modeling h(t) h(t) = -16t2 +80t b. When the car traveling north had gone 24 miles. the other travels east. a) What was the lava’s maximum altitude? @ –b/2a secs = -350/2(-16) = 10. How long will it take to hit the ground? How fast is it going when it hits? h = -16t2 + vit + hi h(t) = -16t2 . How long does it take for them to land in a safety net that’s 148 feet above the ground? h = -16t2 + vit + hi 148 = -16t2 + 96t + 20 -16t2 + 96t – 128 = 0 -16(t2 -6t + 8) = 0 -16(t – 2)(t . the distance between the cars was four miles more than three times the distance traveled by the car heading east.94 h(10. Find the distance from the wall to the bottom of the ladder if the length of the ladder is one foot more than twice its distance from the wall. the height h (in feet) of the lava t seconds after being ejected from the ground could be modeled by h = -16t2 + 350t. 9) What are the dimensions of a square that would cover the same amount of space as a circle with a diameter of 4 meters? Area square = Area circle s2 = ∏r2 = ∏22 s = 2*sqrt(∏) meters 10) The ‘Giganto’ Pizza has six times the area of the large 18” pizza and it only costs $50 (4 times more than the large).4) = 0 t = 2 sec (way up) or 4 sec (way down) 8) In anger.94 secs to max = 21. Find the distance between the cars at that time. The top of the ladder touches the wall at a height of 15 feet. you throw a calculator down from a 240 foot building with an initial velocity of 32 ft/sec. (Think Pythagoean) a 2 + b2 = c 2 242 + e2 = (4 + 3e)2 576 + e2 = 16 + 24e + 9e2 0 = 8e2 + 24e – 560 0 = 8(e2 + 3e – 70) 0 = (e + 10)(e – 7) so e = 7 miles (can’t be -10) distance = sqrt(242 + 72) = 25 miles 7) An acrobat is shot upward from a cannon at 96 ft/sec from an initial height of 20 ft.32t + 240 0 = -16(t2 + 2t – 15) 0 = -16(t + 5)(t – 3) t = 3 secs. 6) Two cars leave an intersection. the speed is: v = 32 + 32ft/sec(3 secs) = 128 ft/sec 128 ft/sec(1 mile/5280ft)(3600 sc/hr v = 87.88 .8 ) = 0 d = 8ft factoring w/ a=3. One car travels north. shooting lava hundreds of feet into the air.3 mph.94) = -16(10. so table. etc. When the eruption was most intense. How big must you make the box to fit it? side of box = diameter of Giganto Area Giganto = 6*Area large ∏r2 = 6*∏*92 r2 = 6*92 r = 9*sqrt(6) Side of box = 18*sqrt(6) = 44” 11) The volcanic cinder cone Puu Puai in Hawaii was formed in 1959 when a massive lava fountain erupted at Kilauea Iki Crater. After 3 seconds.5) A ladder is resting against a wall.94)2 + 350(10. a 2 + b2 = c 2 152 + d2 = (2d + 1)2 225 + d2 = 4d2 + 4d + 1 3d2 + 4d – 224 = 0 (3d + 28) (d .94) h(max) = 1914 ft b) For how long was the lava in the air? double the 10. How long will it take the ball to hit the ground? 8) A golf ball is hit from ground level with an initial upward velocity of 62 ft/s. How high is the person after 1 second on the slide? Dimension 3A: h 0 = 0. What is the maximum height of the ball? If the volleyball were hit under the same conditions. How much time do the opposing players have to hit the spiked ball? 16) Jason lobbed (hit) a tennis ball upward with a velocity of 48 ft/s from a height of 4 ft above the ground. What is the maximum height reached by the ball? 12) A golf ball leaves the tee with an initial upward velocity of 18 m/s. How long does his opponent have to get to the ball before it hits the ground? Dimension 7A: Find the time(s) to reach specified height. 4. How high would the ball be 2. find the time it takes an object to return to the ground 7) A soccer goalie kicks the ball from the ground at an initial upward velocity of 40 ft/s. how much higher would the ball go? 15) In a volleyball game. find the time to reach max or ground 13) Brandon threw a baseball with an upward velocity of 50 ft/s from a height of 6 ft.5t + 50. write the equation describing the height of the golf ball t seconds after it is hit.5 m/s. 2) A soccer player sets up a free kick by putting the ball on the ground near the referee. If the path of the flare is modeled by h(t) = -16t 2 + 190t + 20. If the ball was launched from a height of 8 feet with an initial upward velocity of 41 ft/s. h(t) ¹ 0 17) A baseball player hits a high pop-up with an initial upward velocity of 98 ft/s. How long will it take the ball to reach its maximum height? What is the maximum height the ball reaches? 14) A player bumps a volleyball when it is 4 ft above the ground with an initial vertical velocity of 20 ft/s (equation would be h = -16t 2 + 20t + 4). At what time will the maximum height be attained? 10) A football player attempts a field goal.5 ft with an initial velocity of 60 ft/s. find the maximum height reached by an object 11) Suppose a baseball is shot straight up from a height of 4. the person lands in a swimming pool.5 ft with an initial upward velocity of 60 ft/s. What is the ball's maximum height? If its horizontal velocity is 6. the equation describing height off the ground as a function of time would be h(t) = -16t 2 + 41t + 8. find the time it takes an object to reach its maximum height 9) Suppose a baseball is thrown straight up from a height of 4. where t is the time in seconds. find the max. but with an initial velocity of 32 ft/s. Dimension 2A: Evaluate the equation 4) A basketball player launched a shot from beyond midcourt just 3 seconds before the final buzzer. After how many seconds will the ball hit the ground? Dimension 4A: h 0 = 0.5 m. a player on one team spikes the ball over the net when the ball is 10 ft above the court. How long does a player on the opposing . The spike drives the ball downward with an initial velocity of -55 ft/s. how high is the flare 10 seconds after it was launched? 6) The height h in feet of a person on a waterslide can be modeled by the function h(t) = -0.025t 2 0. If she kicks it with an initial upward velocity of 68 ft/s. Players on the opposing team must hit the ball before it touches the court. how far has it gone? Dimension 5A: h 0 = 0.EXTRA Problems Projectile Motion Dimension 1A: Write the equation 1) Avery throws a football straight up in the air with an upward velocity of 27 m/s from a height of 1. Write the equation describing the height of the football as a function of time. how far has it gone? Dimension 6A: h 0 ¹ 0. The quarterback holds the ball on the ground as the kicker kicks with an upward velocity of 50 ft/s. At the bottom of the slide. what equation describes the height of the ball as a function of time? 3) If a golf ball is hit with an initial upward velocity of 20 m/s.5 seconds after the shot was launched? 5) A boat in distress launches a flare straight up with a velocity of 190 ft/s. How long does it take the ball to reach its maximum height? It its horizontal velocity is 18 ft/s.5 ft above the ground. 6 ft above the ground? 18) A basketball player passes the ball to a teammate who catches it 11 ft above the court. given the perimeter 29) You have a 500-foot roll of fencing and a large field. and what is the largest area? 30) Steve has 120 ft of fence to make a rectangular kennel for his dogs. Does the runner reach home plate before the ball does? Dimension 11A: Including the x and y components of velocity 27) A golf ball leaves the tee with an initial velocity of 30m/s at an angle of 37° to the horizontal. given the area and perimeter . Another player was able to set the ball 1 sec later at a height of 5 ft.5 m above the ground that hits the sideline 1. What was the height of the volleyball when it was bumped? Dimension 10A: Interpret the result/compare result to information given 25) A baseball is popped up into foul territory with an upward velocity of 42 ft/s from a height of 3. What dimensions produce a kennel with the greatest area? 31) Joe has 30 ft of fence to make a rectangular kennel for his dogs. a farmer is using 1800 ft of electric fence to enclose a rectangular field and then to subdivide the field into two equal plots. The ball is caught at home plate at a height of 5 ft.5 ft with an initial upward velocity of 28 ft/s. What is the largest area of the field the farmer can enclose? Dimension 2B: Find the dimensions. How long is the ball in the air before being caught. What was the initial height of the ball when it was hit? 24) A diving volleyball player bumped the ball with an initial upward velocity of 18 ft/s. What was its initial upward velocity? 22) A football punt reaches a maximum height of 68 ft in 2 sec. What was the initial upward velocity of the ball? 21) A golfer hits his second shot from the ground. At what time(s) will the golf ball be at 10m above the ground? What is the maximum height reached by the ball? What is its range (horizontal distance traveled by the ball)? 28) A quarterback passes a football with a velocity of 50ft/s at an angle of 40° to the horizontal toward an intended receiver 30 yd downfield. What dimensions produce the greatest area? 32) A roll of aluminum with a width of 32cm is to be bent into rain gutters by folding up two sides at 90°angles.5 sec. It was caught by the 3 r d baseman 0. is determined by the gutter's greatest crosssectional area. and slam-dunks it through the hoop (an "alley-oop" play). It reaches a maximum height of 100 ft in 2. Assume that the receiver is stationary and that he will catch the ball if it comes to him. If the left fielder is 100 ft away and runs at an average speed of 18 ft/s. or volume. 90 ft away. a runner on third base starts toward home plate. What are the dimensions of the largest such yard.1sec later at a height of 1. For how long is the baton in the air? Dimension 8A: Find the initial upward velocity 20) A tennis ball hits a winner from 0. What was the initial upward velocity of the football? Dimension 9A: Find the initial height 23) A baseball line drive was hit with an initial upward velocity of 3 m/s. but plans to use his garage as one side.1m. and we want to make a right-triangular garden with the stream as the hypotenuse. Three seconds before the ball is thrown.8 sec later. assuming it is caught as it rises? 19) A baton twirler tosses a baton into the air. The baton leaves the twirler's hand 6 ft above the ground and has an initial upward velocity of 45 ft/s. what is the maximum area of our garden? 34) To create a temporary grazing area.5 ft above the ground.team have to catch the ball if he catches it 5. If we have only 80 feet of fencing. Will the pass be completed? Problem Suite B: Geometry Dimension 1B: Find the maximum area. The first player releases the ball 5 ft above the court with an initial upward velocity of 21 ft/s. Find the length of aluminum that should be folded up on each side to maximize the cross-sectional area. will he be able to reach the ball before it hits the ground? 26) A player throws the ball home from a height of 5. A rain gutter's greatest capacity. The twirler catches the baton when it falls back to a height if 5 ft. You want to construct a rectangular playground area. just above the rim of the basket. at a speed of 25 ft/s. The pass is released 5ft above the ground. 33) Suppose a stream borders our land. a. by 20 in. Dimension 4B: Volume 42) A square piece of cardboard has 3 in squares cut from its corners and then has the flaps folded up to form an open-top box. which has a radius of 10 yd. Dimension 3B: Borders 38) Tonya wants to buy a mat for a photograph that measures 14 in. The piece of sheet metal is 5 ft wide. She wants to have an even border around the picture when it is mounted on the mat. The area of the garden should be 800 square feet to accommodate all the species of plants the group wants to grow. 36) A student environmental group wants to build a rectangular ecology garden. Assuming that the string is being held at ground level. If the surface area of the box is 161 in 2. If the total area must be 575 sq ft. If she has enough plants to cover 24 ft 2 for the border. and they want to build a circular deck around it. The hood is to be made by cutting squares from the corners of a piece of sheet metal. What is the width of the hallways? If the width of the hallways is cut in half to provide more work area. find its horizontal distance from the person and its vertical distance from the ground. and its volume must be 22 ft 3. If the space available for the pool and deck is 2300 ft 2. and d. Find the least possible value of the length of the diagonal. and they want the deck to be a uniform width. He wants to subdivide this region into 3 smaller rectangles of equal length. high with surface area 8p ft 3. predict the answer. What are the dimensions of the TV screen? 46) A kite is flying on 50 ft of string. reason why your prediction was right or wrong. A construction company has donated 120 feet of iron fencing to enclose he garden. one in the center and the other for a border of the same width on all four sides. To enclose the most interesting part of the wetlands. surrounded by a hallway that is the same width all the way around. 48) A manufacturing firm wants to package its product in a cylindrical container 3 ft. What original length would yield a box with volume 432 in 3? 43) You are designing the ventilation hood for a restaurant's stove. The height of the hood should not exceed 1 ft. c. Dimension 6B: Surface Area 47) The surface area of a box with open top has a square base and a height of 4 in. The length of the finished hood should be 9 ft. 49) OFFICE/WORK SPACE: A company bought office space measuring 14 m by 20 m. then folding the corners and welding them together. What should the dimensions of the garden be? If additional plants are donated that require 110 ft 2 of space. In the first design. Find the width of the ring of grass. find the dimensions of the base. how wide can the border be? 40) A family has a round swimming pool in their back yard with a diameter of 48 ft. find the dimensions of the entire enclosed region. They want to create cubicles or work areas in the center. Find the dimensions of the garden. If the area of the mat she chooses (before it is cut) is 352 in 2. how wide can the deck be? 41) A ring of grass with an area of 314 yd 2 surrounds a circular flowerbed. will the 120 ft of fencing be enough for the enlarged garden? 37) A kennel owner has 164 ft of fencing with which to enclose a rectangular region. what is the corresponding area remaining for the cubicles? . b. the walkway will have the shape of a right triangle with one leg 700 yd longer than the other and the hypotenuse 100 yd longer than the longer leg. compare your calculation to your prediction. What will be the height of the completed ventilation hood? Dimension 5B: Pythagorean Theorem 44) A nature conservancy group decides to construct a raised wooden walkway through a wetland area. Find the total length of the walkway. Its vertical distance from the ground is 10 ft more than its horizontal distance from the person flying it. What should the radius of the circular top and bottom of the container be? Dimension 7B: Dilations For each problem. calculate the answer. She wants to use two colors of flowers in the bed. the area of the cubicles is equal to the area of the hallways. how wide will the border be? 39) A landscape architect has included a rectangular flowerbed measuring 9ft by 5ft in her plans for a new building.35) An ecology center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000 m 2. 45) The perimeter of a TV screen is 88 in. 68 cm and a stroke (assume it's the height) of 9.660" o.5 in.50) WORK SPACE: The manager of an auto body shop wants to expand his business and enlarge the work area of his garage. No. Each cylinder has a bore (diameter) of 9. and if the original house must be enlarged by the same amount in each direction.315" o. However. what are the new dimensions and area for the playground? 57) MASONRY: A homeowner wants to double the area of his 15 ft by 25 ft brick patio by adding a different-color-brick border on 3 sides (one of the 25 ft sides is against the house). If the group is given twice as much fencing as they need.0201 in. what size unit (in tons) would be needed to cool a 1-story house that measures 40 ft by 35 ft? b.2 L engine.4" | 1. 2" | 2. What are the dimensions of the largest possible play area? If they were given twice as much fencing.d. 1. What is the area of the largest room he can design to display all of the molding? If he chooses to split the molding evenly between two rooms. They had a total of 120 ft of fencing to work with. 18 AWG has a diameter of 0. If the original garage area is 30 ft by 80 ft. 1 1/2" | 1. If the border has a uniform width. If the family can afford a cooling unit twice the original size.500" o. the plans needed to be changed so that the pipe could carry twice the amount of flow from the site. how wide should the border be? What are the dimensions of the enlarged patio? 58) AUTO: The specifications for a Ford F150 truck show it's a 6-cylinder.d. What is the change in pipe diameter required to allow for twice the flow volume? .d.875" o.5 cm. a. 2 1/2" | 2.840" o. how much additional area could they plant? 54) CARPENTRY: A builder found 80 ft of "vintage" crown molding to use for a custom home.d. If the original garage area is 50 ft by 60 ft.d.d. 18 to No. If the design engineer decided to cut the diameter of each cylinder in half. what is the increase in work area? 52) DRAFTING: A house plan shows a center entranceway with rooms off of it on three sides (left. 24? 61) HVAC: Although it usually over-sizes them. and he plans to double both the length and width. d. right and back).1/4" | 1. What is the change in crosssectional area from No. what size cooling unit would be needed? c. what is the maximum area of each room? 55) CARPENTRY: Suppose the builder chooses to use 80 ft of "vintage" crown molding in a 12 ft by 15 ft room with a tray ceiling (the ceiling has a rectangular recessed area surrounded by a uniform border on all sides like a picture frame). 1" | 1.375" o. What is the volume of PVC used to make a 1½" pipe that is 8 ft long? e. 3. wire diameter is cut in half.500" o. and he plans to double the work area.d. but maintain the same displacement (volume per cylinder). how much change would there be in the height of each cylinder? 59) CULINARY: A cake batter fills two 9-inch (diameter) round cake pans to a level of 1. what is the increased length of fence needed? b. one rule of thumb used by some contractors to calculate the size for a cooling unit is 1 ton of air conditioning for each 600 ft 2 in the house.d.900" o. 4" | 4.403 in and No.050" o. What is the volume of PVC needed to make a 3" pipe that is 8 ft long? f. What are the dimensions of the "tray" if the molding is used for the perimeter of the room AND the perimeter of the tray? 56) Students in the Early Childhood class were assigned the task of designing a new fenced playground. How many feet of fencing does the group need if the maximum area they expect to plant is 500 ft 2? a. 24 AWG has a diameter of 0.d. 4. What radius would be needed for all of the batter to fit in one round pan filled to the same level? 60) ELECTRICAL: For every six increases in gauge numbers. what are the new dimensions of the enlarged work area if it is enlarged by the same amount in each direction? 51) WORK SPACE: The manager of an auto body shop wants to expand his business and enlarge the work area of his garage. what are the new dimensions of the house? Plumbing Suppliers lists the following specifications: PipeSize | Outer Diameter 1/2" | 0. how far should each wall be moved? 53) LANDSCAPING: A student environmental group wants to build a rectangular ecology garden. According to this rule of thumb. If the original house is doubled in both dimensions to 80 ft by 70 ft. If the original entranceway was 18 ft by 18 ft. 3" | 3. A building site plan originally called for ½-inch pipe to be used. The homeowner wants to cut the area of the entranceway in half by moving the 3 walls in by the same amount to give each of the surrounding rooms more space. If the group decides to double the maximum area.