Square P has a side length of x inches. Square Q has a perimeter that is 176 inches greater than the perimeter of square P. The function f gives the area of square Q, in square inches. Which of the following defines f?
Correct answer: A. f(x) = (x + 44)2
- A. f(x) = (x + 44)2
- B. f(x) = (x + 176)2
- C. f(x) = (176x + 44)2
- D. f(x) = (176x + 176)2
Explanation
Option A is correct because it accurately calculates the side length of square Q based on the given information and correctly determines the area of square Q. The other options are incorrect as they either miscalculate the side length of square Q or misinterpret the effect of the increased perimeter on the square's dimensions.
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About Quantitative Reasoning
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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