SOLUTION: Mr JV built a 256 square feet square patio in his backyard. He wants to make a water pipe for flowers that goes from one corner to another diagonally. How long will that pipe be?

Algebra ->  Rectangles -> SOLUTION: Mr JV built a 256 square feet square patio in his backyard. He wants to make a water pipe for flowers that goes from one corner to another diagonally. How long will that pipe be?       Log On


   



Question 1133636: Mr JV built a 256 square feet square patio in his backyard. He wants to make a water pipe for flowers that goes from one corner to another diagonally. How long will that pipe be?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

you have square patio, so the length and the width are same
the area is A=L%5E2
if A=256ft%5E2, we have
L%5E2=256ft%5E2
L=sqrt%28256ft%5E2%29
L=16ft%29
now find the length of diagonal which is hypotenuse in right triangle made of two sides of the square and diagonal
d%5E2=L%5E2%2BL%5E2
d%5E2=2L%5E2
d%5E2=2%28256ft%5E2%29
d%5E2=512ft%5E2
d=sqrt%28512ft%5E2%29
d=22.63ft->that is how long will that pipe be