# SOLUTION: The length of a rectangle is 5 inches less than three times its widths. The perimeter is 86 inches. Find the length and width

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 Question 413363: The length of a rectangle is 5 inches less than three times its widths. The perimeter is 86 inches. Find the length and widthAnswer by algebrahouse.com(1079)   (Show Source): You can put this solution on YOUR website!"The length of a rectangle is 5 inches less than three times its widths. The perimeter is 86 inches. Find the length and width." x = width 3x - 5 = length {length is 5 less than 3 times width} 2x + 2(3x - 5) = 86 {perimeter = (2 x width) + (2 x length)} 2x + 6x - 10 = 86 {used distributive property} 8x - 10 = 86 {combined like terms} 8x = 96 {added 10 to both sides} x = 12 {divided both sides by 8} 3x - 5 = 31 {substituted 12, in for x, into 3x - 5} width = 12 in. length = 31 in. www.algebrahouse.com