The perimeter of a rectangular field is 504 yards. It's length is 6 yards shorter than twice it's width? What is the area? x = width 2x  6 = length {six yards shorter than twice the width} 2(x) + 2(2x  6) = 504 {two times width + two times length = perimeter} 2x + 4x  12 = 504 {used distributive property} 6x  12 = 504 {combined like terms} 6x = 516 {added 12 to both sides} x = 86 {divided both sides by 6} 2x  6 = 166 {substituted 86 for x into 2x  6} width = 86 yards length = 166 yards area = 14,276 yds² {area is length x width} © Algebra House
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