A rectangle has an area of 40 square units. The length is 6 units greater than the width. What are the dimensions of the rectangle?

Let the width be w, so the length is w + 6. The area gives w(w + 6) = 40, or w² + 6w − 40 = 0, which factors as (w − 4)(w + 10) = 0. The positive width is 4 units, so the length is 10 units. The correct choice is 10 by 4.

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