Question the-ar
The area , in square centimeters, of a rectangular cutting board can be represented by the expression , where is the width, in centimeters, of the cutting board. Which expression represents the length, in centimeters, of the cutting board?
The area A , in square centimeters, of a rectangular cutting board can be represented by
Medium-difficulty · SAT Math · Equivalent Expressions — Simplifying rational expressions. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice D is correct. It's given that the expression represents the area, in square centimeters, of a rectangular cutting board, where is the width, in centimeters, of the cutting board. The area of a rectangle can be calculated by multiplying its length by its width. It follows that the length, in centimeters, of the cutting board is represented by the expression .
Choice A is incorrect. This expression represents the area, in square centimeters, of the cutting board, not its length, in centimeters.
Choice B is incorrect. This expression represents the width, in centimeters, of the cutting board, not its length.
Choice C is incorrect. This is the difference between the length, in centimeters, and the width, in centimeters, of the cutting board, not its length, in centimeters.
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