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SAT Math Practice Question #6467 - SATify | SATify

#6467

geometry

algebra

functions

area

perimeter

squares

word problem

modeling

expressions

medium

75 sec

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 $f$ ?

A.

$f (x) = (x + 44)^{2}$

B.

$f (x) = (x + 176)^{2}$

C.

$f (x) = (176 x + 44)^{2}$

D.

$f (x) = (176 x + 176)^{2}$