A rectangular photograph is twice as long as it is wide. The perimeter of the photograph is 84 cm. Find the length and the width of the photograph. x = width 2x = length {twice as long as it is wide} Perimeter of a rectangle is 2(width) + 2(length) 2x + 2(2x) = 84 {perimeter is 2(width) + 2(length)} 2x + 4x = 84 {multiplied} 6x = 84 {combined like terms} x = 14 {divided each side by 6} 2x = 28 {substituted 14, in for x, into 2x} width = 14 cm length = 28 cm - Algebra House
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