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Quadrilaterals
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You have 200 feet of fence to enclose two adjacent rectangular corrals. The total area of the enclosed region is 1400 ft^2. What are the dimensions of each corral?
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Quadrilaterals
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A flat-screen television is advertised as being 50 inches on its diagonal. If the TV is 21 inches tall, then how wide is the screen?
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Quadrilaterals
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American Airlines limits the size of carry-on baggage to 45 linear inches (length + width +height), with a weight of no more than 40 pounds. (a) If the length and width of a piece of luggage both measure x inches, express the maximum height, h, of the lug
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What is the maximum area that you can enclose in a rectangular pen with 150 feet of fencing?
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Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft^3, and requiring the least amount of material for its construction. (Note: x = length of the box, y = width of
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A rectangular pool is 40 meters long and 30 feet wide. A walkway 3 feet wide surrounds the pool. What is area of walkway?
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Rewrite the formula, for the area of a trapezoid, to solve for the length of a base, the variable b1: A=b1+b2/2 h.
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The area of a rectangular mirror is 11 and 11/16 square feet. The width of the mirror is 2 and 3/4 feet. If there is a 5-foot tall space on the wall to hang the mirror, will it fit?
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A chess board contains 32 black and 32 white squares. How many squares are along each side of the game board?
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A sand volleyball court has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the volleyball court?
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Sandra has a rectangular garden with dimensions 8 feet times 12 feet . If she needs a garden hose that is at least as long as the diagonal of the hose, which of the following is the shortest hose
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Quadrilaterals
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A lifeguard needs to rope off a rectangular swimming area in front of long lake beach, using 180 yd of rope and floats. What is the maximum area?
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Rewrite without parentheses and simplify the follwing expression: (w+6)^2.
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The bases of a trapezoid are 38 and 17 respectively. The angles at the extremities of the larger base are 57^o \text{ and } 45^o. Find the two legs.
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Quadrilaterals
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You have 60 feet of fencing to enclose a rectangular plot that borders a river. If you do not fence the side along the river, find the dimensions of the plot that will maximize the area.
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Find the missing dimension of the triangle. Given: Area = 24 yd #x00b2; a) base b = 12 yd b) base b = 20 yd c) base b = 24 yd d) base b = 6 yd
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Find the value of x in the following parallelogram.
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Quadrilaterals
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A 16-inch television screen means that the diagonal of the screen is 16 inches. If the screen is 10 inches high, what is the horizontal dimension?
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Quadrilaterals
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The perimeter of triangle ABC is 4x + 1. If two sides are x + 2 and x – 1, find the third side.
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The total length of fencing needed to enclose a rectangular area 46 feet by 34 feet is: A) 26 yards, 1 foot B) 26 2/3 yard C) 52 yards, 2 feet D) 53 1/3 yards
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Math
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What is Form 944?
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Quadrilaterals
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A 10-ft by 20-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 136 ft^2 , How wide is the walkway?
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Quadrilaterals
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A rectangular picture frame has a perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?
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A small rectangular backyard measures 45 feet on one side. The other side measures 20 feet. How many feet around is the yard?
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Quadrilaterals
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How many feet of chain fence are necessary to enclose a square dog pen that has an area of 64 sq ft.? A.16 B. 32 C. 64 D. 256
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Define legs of a trapezoid.
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Quadrilaterals
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The lot is 150 feet by 90 feet. The fence is to be 8 feet tall. The cost for the fence is $4.50 per linear foot, plus $.75 per square foot for labor. What is the total cost of the fence?
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A rectangular park is 12 miles long and 4 miles wide. How long is a pedestrian route that runs diagonally across the park?
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Ian wants to build a rectangular pen for his animals. One side of the pen will be against the barn; the other three sides will be enclosed with wire fencing. If Ian has 450 feet of fencing, what dimen
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Math
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Four identical square rugs are placed end-to-end. If the total area covered by the rugs is 256 ft^2, what is the length of a side of each rug?
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Quadrilaterals
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A homeowner wants to fence her rectangular backyard. The yard is 75 ft by 90 ft. If fencing costs $5 per foot, how much will it cost to fence the yard?
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A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 70 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.1 m^3/min how fast is the wa
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Quadrilaterals
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Solve for x. Each figure is a parallelogram.
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20 in. 30 in. d 7 25 in. A) 26 in. B) 37.5 in. C) 24 in. D) 16.67 in. Use the Pythagorean Theorem to find the missing length in the right triangle. Use a calculator to find square roots, rounding if necessary, to the nearest tenth. 9 cm 18 cm A) 405 cm B)
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Quadrilaterals
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A veterinarian uses 300 feet of chain-link fencing to enclose a rectangular region and also to subdivide the region into two smaller rectangular regions by placing a fence parallel to one of the sides
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Quadrilaterals
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The perimeter of a television screen measures 20 feet. The width of the screen is 6 feet. How high is the screen?
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Math
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A rectangular picture is 2 inches longer than it is wide. When a frame 3 inches wide is placed around the picture, the area covered by the picture and frame is 168 square inches greater than the area
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Quadrilaterals
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Find the diagonal length on a 12 ft by 12 ft square.
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Quadrilaterals
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You are painting a ceiling in a room. The room measures 30 feet by 40 feet. One gallon of paint costs $25 and covers 200 square feet. How much will it cost to paint the ceiling?
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Quadrilaterals
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A rectangular garden is to be constructed and it will be enclosed by a brick perimeter. The bricks for the two horizontal sides of the garden cost $6 per foot, while the bricks for the two vertical sides of the garden cost $10 per foot. If you have a tota
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