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2005 AMC 12B Question 20

AMC12 · 2005 AMC 12B

Question 20

Let $a,$ $b,$ $c,$ $d,$ $e,$ $f,$ $g$ and $h$ be distinct elements in the set $$
\{-7, -5, -3, -2, 2, 4, 6, 13\}.
$$ What is the minimum possible value of $$
\begin{aligned} &(a + b + c + d)^2 \\ &\quad {}+ (e + f + g + h)^2? \end{aligned}
$$
  1. $30$
  2. $32$
  3. $34$
  4. $40$
  5. $50$