SOLUTION: The perimeter of a rectangle is 32 inches and the area is 60 square inches. Find the length and width of the rectangle.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The perimeter of a rectangle is 32 inches and the area is 60 square inches. Find the length and width of the rectangle.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 181547This question is from textbook
: The perimeter of a rectangle is 32 inches and the area is 60 square inches. Find the length and width of the rectangle. This question is from textbook

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is 32 inches and the area is 60 square inches. Find the length and width of the rectangle.
-------------
Area = l*w = 60
Perimeter = 2l + 2w = 32 --> l+w = 16
---------------
l*w = 60
Sub for w, w = 16-l
l*(16-l) = 60
l^2 - 16l + 60 = 0
--------------
(l-6)*(l-10) = 0
l = 10, l = 6
So it's l = 10, w = 6 or vice versa