If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. find the area of the original square.

Question

Daniel Kemp

Mathematics

2 December, 04:57

If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. find the area of the original square.

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Answers (1)

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Darryl Vaughn · Answer 1

Let side of the square = x m, then:-

(x + 15) (x - 13) = 60

x^2 + 2x - 195 - 60 = 0

x^2 + 2x - 255 = 0

(x - 15) (x + 17) = 0

x = 15 meters (answer)