SOLUTION: the length of a rectangle is 7 more than the width. the perimeter is 34 meters. what is the width and length in meters and what is the area in square meters? please help me p

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Question 147467: the length of a rectangle is 7 more than the width. the perimeter is 34 meters.
what is the width and length in meters and what is the area in square meters?
please help me please....
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
the length of a rectangle is 7 more than the width. the perimeter is 34 meters. what is the width and length in meters and what is the area in square meters?
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Let W = width of the rectangle
then from "length of a rectangle is 7 more than the width" we have
W+7 = length of the rectangle
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Remember the perimeter of any rectangle is:
L+L+W+W = 2(L+W)
And, because the perimeter is 34 meters we get:
34 = 2(L+W)
Earlier, we said that L=W+7 so plug that in and we get:
34 = 2(W+7+W)
34 = 2(2W+7)
34 = 4W+14
20 = 4W
5 meters = W (the width)
W+7 = 5+7= 12 meters (the length)
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Area = LW = 12(5) = 60 sq meters