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)

Question

Mathematics

Ben Nunez

11 August, 09:00

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)

+5

Answers (1)

Know the Answer?

Kathy Townsend · Answer 1

(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.