P = 2L + 2W P = perimeter L = length W = width L = W + 4 P = 32 you get: P = 2L + 2W becomes: 32 = 2(W+4) + 2W which becomes: 32 = 2W + 8 + 2W which becomes: 32 = 4W + 8 subtract 8 from both sides of this equation to get: 32 - 8 = 4W combine like terms to get: 24 = 4W
divide both sides of this equation by 2 to get: W = 6 since L is equal to W + 4, this makes L = 10 you have: L = 10 W = 6 P = 2L + 2W = 20 + 12 = 32 this checks out ok. A = L*W A = 10*6 = 60 A equals area L = length W = width area of the rectangle is equal to 60 square cm. the question, however, was "what is the length?" the answer to that is that the length equals 10 cm.
Feb 13th, 2015
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