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Algebra / Linear equations in one variable Difficulty: Medium

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w ?

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Explanation

Choice B is correct. It is given that the width of the dance floor is w feet. The length is 6 feet longer than the width; therefore, the length of the dance floor is w plus 6. So the perimeter is w plus w, plus, open parenthesis, w plus 6, close parenthesis, plus, open parenthesis, w plus 6, close parenthesis, equals, 4 w plus 12.

Choice A is incorrect because it is the sum of one length and one width, which is only half the perimeter. Choice C is incorrect and may result from using the formula for the area instead of the formula for the perimeter and making a calculation error. Choice D is incorrect because this is the area, not the perimeter, of the dance floor.