SOLUTION: The perimeter of a rectangle is 1000 feet. Three times the length is equal to five times the width. Determine the length and width.

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Question 557442: The perimeter of a rectangle is 1000 feet. Three times the length is equal to five times the width. Determine the length and width.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with:
P = 2(L+W) as the formula for the perimeter, P, of a rectangle with length, L, and width, W.
P = 2(L+W) Substitute P = 1000 and L = 5W.
1000 = 2(5W+W) Simplify.
1000 = 2(6W)
1000 = 12W Divide both sides by 12.
W+=+831%2F3 and...
L+=+5%2883%291%2F3
L+=+4162%2F3