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Area and volume SAT question

Math · Geometry and Trigonometry · Easy · Answer it here, explanation included.

A rectangle has an area of square meters and a length of meters. What is the width, in meters, of the rectangle?

ExplanationShow

Choice A is correct. The area , in square meters, of a rectangle is the product of its length , in meters, and its width , in meters; thus, . It's given that a rectangle has an area of square meters and a length of meters. Substituting for and for  in the equation  yields . Dividing both sides of this equation by yields . Therefore, the width, in meters, of the rectangle is .

Choice B is incorrect. This is the difference between the area, in square meters, and the length, in meters, of the rectangle, not the width, in meters, of the rectangle.

Choice C is incorrect. This is the square of the length, in meters, not the width, in meters, of the rectangle.

Choice D is incorrect. This is the product of the area, in square meters, and the length, in meters, of the rectangle, not the width, in meters, of the rectangle.

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