SOLUTION: The length of a rectangle is 4 centimeters longer than its width. If the perimeter is 28 centimeters, find the length and the width.
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Question 294525: The length of a rectangle is 4 centimeters longer than its width. If the perimeter is 28 centimeters, find the length and the width. Answer by dabanfield(803) (Show Source):
You can put this solution on YOUR website! The length of a rectangle is 4 centimeters longer than its width. If the perimeter is 28 centimeters, find the length and the width.
Let l be the be the length and w the width of the rectangle. Then we have:
1.) l = w + 4
2.) 2*l + 2*w = 28
Substituting w+4 for l in equation 2.) we have:
2*(w+4) + 2*w = 28
2*w + 8 + 2*w = 28
4*w = 28-8
4*w = 20
w = 5
From 1.) we have l = w + 4 = 5+4 = 9
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