SOLUTION: The perimeter of a rectange is 54 centimeters, and its area is 140 square centimeters. Find the dimensions of the rectangle.

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectange is 54 centimeters, and its area is 140 square centimeters. Find the dimensions of the rectangle.      Log On


   

Question 747042: The perimeter of a rectange is 54 centimeters, and its area is 140 square centimeters. Find the dimensions of the rectangle.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
%0D%0AP=2%28l%2Bw%29%0D%0A


becomes
%0D%0A54=2%28l%2Bw%29%0D%0A


or

%0D%0Al=27-w%0D%0A
and
%0D%0AA=lw%0D%0A


becomes
%0D%0Alw=140%0D%0A

then
%0D%0A%2827-w%29w=140%0D%0A

expanding and rewriting...

%0D%0Aw%5E2-27w%2B140=0%0D%0A

and the equation factors to
%0D%0A%28w-20%29%28w-7%29=0%0D%0A


This means that w=20 and l=7