SOLUTION: A rectangle's width is twice as long as its length. If the perimeter is 36 in, find its length

Algebra ->  Rectangles -> SOLUTION: A rectangle's width is twice as long as its length. If the perimeter is 36 in, find its length      Log On


   

Question 828980: A rectangle's width is twice as long as its length. If the perimeter is 36 in, find its length
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let L be the length and W the width of the re ctangle.
1. W=2%2AL
2. 2L%2B2W=36
Substitute eq. 1 into eq. 2,
2L%2B2%282%2AL%29=36
2L%2B4L=36
6L=36
highlight%28L=9%29
Then from eq. 1,
W=2%2AL
W=2%2A9
highlight%28W=18%29