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20 August, 10:03

A sheet of metal is 9 inches longer than it is wide, and its total area is 252 square inches. Find the dimensions of the sheet of metal.

If w represents the width of the metal sheet, which of the following equations is a model for the given word problem?

A.

(3, - 7)

B.

(-2, 7) and (3, - 3)

C.

(3, 3)

D.

(2, 7) and (3, 9)

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Answers (1)
  1. 20 August, 10:21
    0
    (9+w) w=252 or w (w+9) = 252.

    The quadratic equation applies: w²+9w-252=0 = (w+21) (w-12), so w=12, because a negative zero is meaningless.

    So the dimensions are width=12 in and length=21 in.
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