SOLUTION: The length of a rectangle is five times its width. if the area of the rectangle is 180, find its perimeter.

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Question 460618: The length of a rectangle is five times its width. if the area of the rectangle is 180, find its perimeter.
Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = width and L = length p=perimeter
L+=+5w
180+=+L%2Aw++=+5w%5E2 Substitute 5w in for L

180%2F5+=+w%5E2 Rearrange to find w

36+=+w%5E2
6+=+w+ Must be positive

p=2L%2B2w Subsitute 10w in for 2L

p+=+10w%2B2w+=+60%2B12+=+72