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SAT Math Practice Question #30144 - SATify | SATify

#30144

expressions

modeling

word problem

squares

perimeter

area

functions

algebra

geometry

medium

70 sec

Square P has a side length of $x$ inches. Square Q has a perimeter that is 120 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.

$f (x) = (x + 30)^{2}$

B.

$f (x) = (x + 120)^{2}$

C.

$f (x) = (120 x + 30)^{2}$

D.

$f (x) = (120 x + 120)^{2}$