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Math·Advanced Math·Nonlinear functions

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Square $P$ has a side length of $x$ inches. Square $Q$ has a perimeter that is $32$ 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

$f(x)=(x+8{)}^2$

B

$f(x)=(x+32{)}^2$

C

$f(x)=(32x+8{)}^2$

D

$f(x)=(32x+32{)}^2$