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?
Correct answer: B. 4w + 12
- A. 2w + 6
- B. 4w + 12
- C. w2 + 6
- D. w2 + 6w
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 + 6. So the perimeter is w + w + (w + 6) + (w + 6) = 4w + 12.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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