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

Question

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.

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Answers ( No )

    0
    2021-09-08T22:09:29+00:00

    Answer:

    area is 360 cm^2.

    0
    2021-09-08T22:09:38+00:00

    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.

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