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2016 AMC 12B Problems/Problem 10

Revision as of 10:54, 21 February 2016 by Mathmaster2012 (talk | contribs) (Created page with "==Problem== A quadrilateral has vertices <math>P(a,b)</math>, <math>Q(b,a)</math>, <math>R(-a, -b)</math>, and <math>S(-b, -a)</math>, where <math>a</math> and <math>b</math>...")
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Problem

A quadrilateral has vertices $P(a,b)$, $Q(b,a)$, $R(-a, -b)$, and $S(-b, -a)$, where $a$ and $b$ are integers with $a>b>0$. The area of $PQRS$ is $16$. What is $a+b$?

$\textbf{(A)}\ 4 \qquad\textbf{(B)}\ 5 \qquad\textbf{(C)}\ 6 \qquad\textbf{(D)}\ 12  \qquad\textbf{(E)}\ 13$

Solution

See Also

2016 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
Problem 9
Followed by
Problem 11
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions

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