SOLUTION: The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 28 m, find its area.

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Question 955350: The length of a rectangle is 4 m longer than its width.
If the perimeter of the rectangle is 28 m, find its area.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=width; L=length=W+4m; P=perimeter
P=2(L+W) Substitute for L
28m=2(W+4m+W) Divide each side by 2.
14m=2W+4m Subtract 4m from each side.
10m=2W Divide each side by 2.
5m=W Width is 5 meters.
L=W+4m=5m+4m=9m Length is 9 meters.
Area=L%2AW=9m%2A5m=45m%5E2
ANSWER: The area is 45 square meters.