The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 72 m, find its length and width.

**Perimeter of a rectangle = 2(width) + 2(length)**

w = width

w + 4 = length {length is 4 longer than width}

2w + 2(w + 4) = 72 {substituted width, length, and perimeter into perimeter formula}

2w + 2w + 8 = 72 {used distributive property}

4w + 8 = 72 {combined like terms}

4w = 64 {subtracted 8 from each side}

w = 16 {divided each side by 4}

w + 4 = 20 {substituted 16, in for w, into w+ 4}

**width = 16**

length = 20

length = 20

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