The perimeter of a rectangle is 36 yards. The width is 18 yards less than twice the length. Find the length and the width of the rectangle

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Mathematics

Cole Henson

4 March, 07:27

The perimeter of a rectangle is 36 yards. The width is 18 yards less than twice the length. Find the length and the width of the rectangle

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Answers (1)

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Howell · Answer 1

The formula for perimeter is P = 2L + 2W.

Here W = 2L-18 and 2L + 2W = 36. Subst. 2L-18 for W:

2L + 2 (2L-18) = 36. Then 6L - 36 = 36, and 6L = 72. Therefore, L = 12 yd.

W = 2 (12 yd) - 18 yd = 24 yd - 18 yd = 6 yd

The rectangle's dimensions are 6 yd (width) by 12 yd (length).

Note that P = 2 (6) + 2 (12) = 36, as required.