The ratio of length to width of a rectangular garden is 6:7 . If the perimeter of the rectangle is 78 meters, what is the area of the garden in square meters?
Correct answer: D. 378
- A. 274
- B. 326
- C. 352
- D. 378
Explanation
The ratio of the length to the width of the garden is 6:7. Let the common factor be 'x', so the length is 6x and the width is 7x. The perimeter of the rectangle is given by the formula 2(length + width). Therefore:2(6x + 7x) = 26x = 78Solving for 'x' gives:x = 78 / 26 = 3Thus, the length is 6 * 3 = 18 meters and the width is 7 * 3 = 21 meters.The area of the garden is calculated as:Area = length * width = 18 * 21 = 378 square meters.Therefore, Option D, 378, is the correct answer. The other options are incorrect as they do not align with the correct calculations based on the given information.
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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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