The perimeter of a rectangle is 80 feet and its length is 12 feet longer than the width. How long is its length and width?
w = width
w + 12 = length {the length is 12 foot longer than the width} Perimeter of a rectangle = 2(width ) + 2(length) 2w + 2(w + 12) = 80 {substituted width, length, and perimeter into perimeter formula} 2w + 2w + 24 = 80 {used distributive property} 4w + 24 = 80 {combined like terms} 4w = 56 {subtracted 24 from each side} w = 14 {divided each side by 4} width of rectangle = 14 feet w + 12 = length of rectangle = 14 + 12 {substituted 14, in for w, into w + 12} = 26 {added} length of rectangle = 26 feet width = 14 feet length = 26 feet Ask Algebra House
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