The perimeter of a rectangle if 68 feet. If the length is 8 feet more than the width, find both the length and width. (Formula: P = 2L + 2W) x = width x + 8 = length {the length is 8 more than the width} Perimeter of a rectangle is 2(width) + 2(length) 2x + 2(x + 8) = 68 {substituted expressions into perimeter formula} 2x + 2x + 16 = 68 {used distributive property} 4x + 16 = 68 {combined like terms} 4x = 52 {subtracted 16 from each side} x = 13 ft width {divided each side by 4} x + 8 = 21 ft length {substituted 13, in for x, into x + 8} width is 13 ft length is 21 ft  Algebra House
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