A rectangle has an area of 155 square inches. The length of the rectangle is 4 inches less than 7 times the width of the rectangle. What is the width of the rectangle, in inches?

Correct answer: A. 5

  • A. 5
  • B. 8
  • C. 10
  • D. 15

Explanation

The correct answer is 5. Let x represent the width of the rectangle. The length is 7x - 4. The area is calculated as x(7x - 4) = 155. Solving this equation gives x = 5 as the width. Option B, C, and D are incorrect as they result in areas that do not match the given area of 155 square inches.

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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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