The perimeter of a parallelogram is 72 m. the width of the parallelogram is 4 m less than its length. find the length and the width of the parallelogram.

Let L = length  and W = width

(1) Perimeter = 2 (L + W) = 72 m (given)

W = L - 4 (given). Plug in the value of W in (1)

Perimeter = 2[L + (L-4)] = 72
Perimeter = 2[2L-4)] = 72
Perimeter = 4L - 8 = 72

4L = 80 and L = 20, and W = 16

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