The area of a rectangle is 420 inches and diagonal is 29 inches. Find its sides?
Correct answer: C. 20, 21
- A. 30, 31
- B. 40, 41
- C. 20, 21
- D. 10, 11
Explanation
To solve for the sides of the rectangle, we use the relationship between the sides, area, and diagonal. By calculating the square of the sides and applying the formula for the area of a rectangle, we can determine the correct sides. In this case, the correct sides are 20 and 21, as they satisfy the given area of 420 inches. The other options do not align with the given area, making them incorrect choices.
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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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