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If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area
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If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.

User Florian Brucker
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1 Answer

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Let x represent the side length of the square. Then
(x +4)*(x -5) +40 = x^2
x^2 -x -20 +40 = x^2
20 = x

The rectangle is 15 cm by 24 cm, and its area is 360 cm^2.
User Tbeernot
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