The perimeter of a rectangular garden is 80 meters. If its width is 2/3 of its length, find the dimensions of the garden. Represent the data, write the equation, and solve. x = length (2/3)x = width Perimeter of a rectangle is 2(length) + 2(width) 2x + 2(2/3)x = 80 {perimeter is 2(length) + 2(width) 2x + (4/3)x = 80 {multiplied} (10/3)x = 80 {combined like terms} x = 24 {divided each side by 10/3} (2/3)x = 16 {substituted 24, in for x, into (2/3)x} length is 24 meters width is 16 meters  Algebra House
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