A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle.

Divide both sides of w(2w + 2) = 40 by 2 to get w(w + 1) = 20, or w² + w − 20 = 0. Factoring gives (w + 5)(w − 4) = 0, so w is −5 or 4. A width must be positive, so the width is 4 units, choice A.

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