SOLUTION: The perimeter of a rectangle is 24ft and the length is 8ft longer than the width what is the length and the width

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Question 549836: The perimeter of a rectangle is 24ft and the length is 8ft longer than the width what is the length and the width
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
let's let L be length and W be width.
From the question we know that
L=8%2BW
We also know that the perimeter of a rectangle can be calculated using the formula
P=2L%2B2W
Now substituting the 8+W for L and the given perimeter we get:
24=2%288%2BW%29%2B2W
24=16%2B2W%2B2W
24-16=4W
8=4W
8%2F4=W
W=2
Well if W=2, we can find the length using the first formula we can up with
L=8%2BW
L=8%2B2
L=10