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What are the dimensions of a rectangular tract of land if its perimeter is 70 kilometers and its area is 300 square kilometers?

km (smaller value)

akm (larger value)

2 answers

2 w + 2 L = 70 so w+L = 5 and L = (35-w)

300 = w (35-w)

w^2 -35 w + 300 = 0

(w-20)(w-15) = 0
w = 15 or 20
so
w = 15 and L = 20

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