SOLUTION: If the length of a rectangle were decreased by seventeen feet the rectangle would be a square. The perimeter of the rectangle is three hundred twenty-six feet. What are the dimensi

Algebra ->  Rectangles -> SOLUTION: If the length of a rectangle were decreased by seventeen feet the rectangle would be a square. The perimeter of the rectangle is three hundred twenty-six feet. What are the dimensi      Log On


   

Question 163485: If the length of a rectangle were decreased by seventeen feet the rectangle would be a square. The perimeter of the rectangle is three hundred twenty-six feet. What are the dimensions of the rectangle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If the length of a rectangle were decreased by seventeen feet the rectangle
would be a square. The perimeter of the rectangle is three hundred twenty-six
feet. What are the dimensions of the rectangle?
:
Let x = the side of the square
then
(x+17) = length of the rectangle
:
It's also apparent that:
x = width of the rectangle
:
2(x+17) + 2x = 326
:
2x + 34 + 2x = 326
:
4x = 326 - 34
x = 292%2F4
x = 73 ft
:
Length = 73 + 17 = 90 ft
width = 73 ft
:
:
Check solution using the perimeter
2(90) + 2(73) = 326