Square $P$ has side length $x$ 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 $Q$. Which defines $f$?

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SAT Mathematics QUESTION #5473

Question 1

$f(x) = (x + 44)^2$✔️
$f(x) = (x + 176)^2$
$f(x) = (176x + 44)^2$
$f(x) = (176x + 176)^2$

Correct Answer Explanation

$Perimeter_P = 4x$. $Perimeter_Q = 4x + 176 = 4(x + 44)$. So $Side_Q = x + 44$. Area $f(x) = (x + 44)^2$.

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