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Geometry and Trigonometry
/ Area and volume
Difficulty: Easy
What is the area, in square inches, of a rectangle with a length of inches and a width of inches?
Explanation
Choice C is correct. The area, , of a rectangle is given by the formula , where represents the length of the rectangle and represents its width. Itβs given that the rectangle has a length of inches and a width of inches. Substituting for and for in the formula yields , or . Thus, the area, in square inches, of the rectangle is .
Choice A is incorrect. This is the sum, not the product, of the length and width of the rectangle.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect. This is twice the area, in square inches, of the rectangle.