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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