SOLUTION: If the length of a rectangle were decreased by twenty-seven feet the rectangle would be a square. The perimeter of the rectangle is two hundred ninety-four feet. What are the dimen

Algebra ->  Rectangles -> SOLUTION: If the length of a rectangle were decreased by twenty-seven feet the rectangle would be a square. The perimeter of the rectangle is two hundred ninety-four feet. What are the dimen      Log On


   

Question 318557: If the length of a rectangle were decreased by twenty-seven feet the rectangle would be a square. The perimeter of the rectangle is two hundred ninety-four feet. What are the dimensions of the rectangle?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
L-27=W because if the length is decreased by 27 on both sides then all sides would be equal making a square
P=2%28L%2BW%29
P=294
294=2%28L%2B%28L-27%29%29 add like terms
294=2%282L-27%29 distribute the 2
294=4L-54%29 add 54
348=4L divide by 4
62=L
L-27=W
62-27=W
35=W