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 The length of a rectangle is 6 inches, and the width is 5 inches. When each dimension is increased by x inches, the area triples. Which equation models this situation?

A)(6x)(5x) = 60B)(6x)(5x) = 90C)(x + 6)(x + 5) = 60D)(x + 6)(x + 5) = 90​

Answer 1

D

Explanation:

Before the increase, the length is 6 and the width is 5, so the area is 5×6 = 30.

After the increase, the length is x+6, the width is x+5, and the area is tripled: 30×3 = 90.

Therefore:

(x+6) (x+5) = 90