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The length of a rectangle is 4 inches more than its width, and its perimeter is 36. Find the width of the rectangle

1 Answer

4 votes

Answer:

width = 7 inches

Explanation:

perimeter = 2L + 2W

36 = 2L + 2W

L = 4+W

Substitute that into the equation:

36 = 2L + 2W

36 = 2(4+W) + 2W

36 = 8 + 2W + 2W

36 = 8 + 4W

28 = 4W

7 = W

The width is 7.

The length is 11.

perimeter = 2L + 2W = 2(11) + 2(7) = 22 + 14 = 36 so our answer is correct

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