Shaped Sign
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What is the perimeter of a rhombus-shaped highway sign with a 20-centimeter side?
A. 40 centimeters C. 400 centimeters
B. 80 centimeters D. 20 centimeters
Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle,
15 feet long and 8 feet wide. He needs to lay a piece of pipe that will be run along the diagonal
of the lawn. It will divide the area of the lawn into two right triangles. What will be the
length of that diagonal piece of pipe?
A. 120 feet C. 23 feet
B. 289 feet D. 17 feet
cube-shaped box is 6 inches wide and the rectangular box is
10 inches long, 4 inches wide, and 4 inches high. How much greater is the volume of the
cube-shaped box than the rectangular box?
A. 60 cubic inches C. 56 cubic inches
B. 50 cubic inches D. 66 cubic inches
Thanks for your help
1. Rhombus has 4 equal sided, so the perimeter will be 4X20=80cm. The correct choice is 'B'
2. The two sides of the right angle are 15 and 8 feet long so the the third arm (opposite to rectangle) is sqrt [(15)(15)+(8)(8)}\] = sqrt (225+64) or sqrt 289 = 17. So the length of the diagonal pipe is 17 Feel. The correct choice is 'D'
3. The volume o the cube is 6X6X6 = 216 cube inches. The volume of the rectangular box is 10X4X4 = 160 cube inches. Thus the Cube's volume is 56 cube inches higher (216-160=56). The correct choice is 'C'
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