The length of a rectangle is 3 more than the width. The area is 54 square inches. Find the dimensions.
A)The width is 9 inches, the length is 6 inches.
B)The width is 5 inches, the length is 8 inches.
C)The width is 9 inches, the length is 12 inches.
D)The width is 6 inches, the length is 9 inches.
E)The width is 6 inches, the length is 12 inches.

Question

Quizplus · Accepted Answer

Let x be the width of the rectangle. Then, the length is x+3. The area is x(x+3)=54. Simplifying, we get x^2+3x-54=0. Factoring, we get (x+9)(x-6)=0. Since the width can't be negative, x=6. Then, the length is x+3=9. Therefore, the dimensions are 6 inches by 9 inches, which corresponds to choice D.

The Length of a Rectangle Is 3 More Than the Width