The length of a rectangle is three less than twice the width. If the perimeter is 24 inches, what are the length and width of the rectangle? x = width 2x  3 = length {length is 3 less than twice width} Perimeter of a rectangle is 2(width) + 2(length) 2x + 2(2x  3) = 24 {perimeter is 2(width) + 2(length)} 2x + 4x  6 = 24 {used distributive property} 6x  6 = 24 {combined like terms} 6x = 30 {added 6 to both sides} x = 5 {divided both sides by 6} 2x  3 = 7 {substituted 5, in for x, into 2x  3} width = 5 inches length = 7 inches © Algebra House
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