SOLUTION: The length of a rectangle is 3 times longer than its width. If the area of the rectangle is 24 square inches, then what is the perimeter of the rectangle?

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 3 times longer than its width. If the area of the rectangle is 24 square inches, then what is the perimeter of the rectangle?       Log On


   

Question 976450: The length of a rectangle is 3 times longer than its width. If the area of the rectangle is 24 square inches, then what is the perimeter of the rectangle?


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 3 times longer than its width. If the area of the rectangle is 24 square inches, then what is the perimeter of the rectangle?
------------
The length of a rectangle is 3 times longer than its width.
----
1 times longer = 2x as long
2 times longer = 3x as long
3 times longer = 4x as long
---------
L = 4W
L*W = 24
4W*W = 24
W^2 = 6
W+=+sqrt%286%29
L+=+4sqrt%286%29
----------
P = 2L + 2W
p+=+10sqrt%286%29
P =~ 24.5