SOLUTION: The perimeter of a rectangle is 60 inches and the area is 161 square inches. Find the dimensions of the rectangle

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Question 980320: The perimeter of a rectangle is 60 inches and the area is 161 square inches. Find the dimensions of the rectangle

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
area(A) = l * w where l is length and w is width
we are given l * w = 161, therefore
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we ask "what are the prime factors of 161"?
161's prime factors are 7 and 23, that is 7 * 23 = 161
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Perimeter = 2l + 2w
let l = 23 and w = 7, then
60 = 46 + 14
60 = 60
therefore
the dimensions of the rectangle are
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length = 23 inches and width = 7 inches