SOLUTION: The length of a rectangle is 2 m longer than its width. If the perimeter of the rectangle is 56 m , find its length and width.

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Question 1056045: The length of a rectangle is
2 m
longer than its width.
If the perimeter of the rectangle is
56 m
, find its length and width.

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
W + L = 28,
W - L = 2.

Add these equations.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The length of a rectangle is
2 m
longer than its width.
If the perimeter of the rectangle is
56 m
, find its length and width. 
Let width be W

Then length = W + 2 ------ eq (i)

Since perimeter = 56 m, we see that: L + W = 28 ------ eq (ii)

W + 2 + W = 28 ------- Substituting W + 2 for L in eq (ii)

2W = 26

W, or width = highlight_green%28matrix%281%2C4%2C+26%2F2%2C+or%2C+13%2C+m%29%29

Length = 13 + 2, or highlight_green%28matrix%281%2C2%2C+15%2Cm%29%29