Braelyn is writing an equation to represent the perimeter of a rectangle with the width equal to half the length. She knows that the perimeter is equal to 18 units and needs to find the length and width of the rectangle. Which equations represent this relationship? Select the four correct answers.

Let the length be x, so the width is one-half x. The perimeter is x + one-half x + x + one-half x, which gives choice D; grouping the two equal sides gives choice E. Combining terms gives 2x + x = 18, choice B. Choice C also works if x represents the width and 2x the length. Only three choices are mathematically correct; A and F do not equal the rectangle’s perimeter, so the instruction to select four appears to be an error.

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