SOLUTION: the length of a rectangle is 4 inches longer than its width. the perimeter of the rectangle is 112. find the dimensions of the rectangle.

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Question 492067: the length of a rectangle is 4 inches longer than its width. the perimeter of the rectangle is 112. find the dimensions of the rectangle.
Answer by Jstrasner(112) About Me  (Show Source):
You can put this solution on YOUR website!
Hey,
So for this problem we need to write down what we know and make formulas:
L = 4 + W
P = 2L + 2W
P = 112
112 = 2L + 2W
Now we need to substitute L in the second equation with 4 + W:
112 = 2(4 + W) + 2W => 112 = 8 + 2W + 2W => 112 = 8 + 4W => 104 = 4W => 26 = W
L = 4 + W => L = 4 + 26 => L = 30
So the length of the rectangle is 30 inches and the width of the rectangle is 26 inches.
I hope this helps!