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 Ask the House
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