sat suite question viewer
The area of a rectangular banner is square inches. The banner's length , in inches, is inches longer than its width, in inches. Which equation represents this situation?
Explanation
Choice A is correct. It’s given that the banner’s length , in inches, is inches longer than its width, in inches. It follows that the banner’s width, in inches, can be represented by the expression . The area of a rectangle is the product of its length and its width. It's given that the area of the banner is square inches, so it follows that , or . Subtracting from each side of this equation yields . Therefore, the equation that represents this situation is .
Choice B is incorrect and may result from representing the width, in inches, of the banner as , rather than .
Choice C is incorrect and may result from representing the width, in inches, of the banner as , rather than .
Choice D is incorrect and may result from conceptual or calculation errors.