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Advanced Math / Nonlinear functions Difficulty: Medium

The area A , in square centimeters, of a rectangular cutting board can be represented by the expression ww+9, where w is the width, in centimeters, of the cutting board. Which expression represents the length, in centimeters, of the cutting board?

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Explanation

Choice D is correct. It's given that the expression ww+9 represents the area, in square centimeters, of a rectangular cutting board, where w 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 w+9. 

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.