SOLUTION: The length of a rectangle is 3 times the width, and the perimeter is 22 what are the dimensions of the rectangle?

Algebra ->  Rectangles -> SOLUTION: The length of a rectangle is 3 times the width, and the perimeter is 22 what are the dimensions of the rectangle?      Log On


   



Question 261906: The length of a rectangle is 3 times the width, and the perimeter is 22 what are the dimensions of the rectangle?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
P = 2L + 2W
-----------
Given:
P = 22
L = 3W
------------
22+=+2L+%2B+2W
We can substitute 3W in for L
22+=+2%2A%283W%29+%2B+2W
Simplify
22+=+6W+%2B+2W
Combine like terms
22+=+8W
Divide both sides by 8
highlight%282.75+=+W%29
L = 3W
L = 3*(2.75)
highlight%28L+=+8.25%29
-----------------------
Check the answers
P = 2L + 2W
22+=+2%2A%288.25%29+%2B+2%2A%282.75%29
22+=+16.5+%2B+5.5
highlight%2822+=+22%29