A certain town has an area of 4.36 square miles.What is the area, in square yards, of this town? (1 mile = 1,760 yards)
Correct answer: D. 13,505,536
- A. 404
- B. 7,674
- C. 710,459
- D. 13,505,536
Explanation
The correct answer is 13,505,536 square yards. To find the area of the town in square yards, remember that 1 mile equals 1,760 yards. Therefore, 1 square mile is 1,760 x 1,760 = 3,097,600 square yards. Multiply the area of the town in square miles (4.36) by the number of square yards in a square mile (3,097,600) to get the area in square yards: 4.36 x 3,097,600 = 13,505,536. Other options are incorrect due to misunderstandings of converting linear measurements to square measurements or incorrect arithmetic operations.
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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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