The width of a rectangular plot is 4 feet longer than twofifths the length. If the perimeter of the plot is 36 feet, find the length. x = length (2/5)x + 4 = width {width is 4 longer than twofifths the length} Perimeter of a rectangle is 2(width) + 2(length) 2x + 2[(2/5)x + 4] = 36 {substituted into perimeter formula} 2x + (4/5)x + 8 = 36 {used distributive property} (14/5)x + 8 = 36 {combined like terms} (14/5)x = 28 {subtracted 8 from each side} x = 10 {divided each side by 14/5, which is multiplying by reciprocal, 5/14} length is 10 feet  Algebra House Comments are closed.

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