Question

The width and the length of a rectangle are consecutive even integers. if the width is decreased by 3 inches, then the area of the resulting rectangle is 24 square inches. what is the area of the original rectangle? 12 square inches 48 square inches 96 square inches

Answer 1

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Answer 2

Consecutive even integers = x, x + 2

(x - 3)(x + 2) = 24 Since width x, was decreased by 3.

If we test x = 6, (6 - 3)(6 + 2) = 3*(8) = 24

So to (x - 3)(x + 2) = 24, x = 6 satisfies it.

The original rectangle = x, x + 2 = 6, 6 + 2 = 6, 8

Original area = 6*8 = 48 square inches