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one side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increased by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.

Respuesta :

Answer:

The length is 15 and the width is 8

Step-by-step explanation:

Use this formula to find what the dimensions are. x is the length of the shorter side while (x+7) is the length of the longer side:

(x+7)(x) = ((x+7)-3)(x+2)

x = 8

(8+7)(8) = ((8+7)-3)(8+2)
15(8) = (15-3)(10)
120 = 12(10)
120 = 120

The length is proved 15 and the width is proved 8.

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