Question 65
A convex quadrilateral $ABCD$ is such that $AB = 14$, $BC = 24$, $CD = 26$ and $DA = 16$. Its area is $360$. Find the area of the region of the plane inside the quadrilateral consisting of the points at distance at most $3$ from its perimeter.
(A) $100$
(B) $120$
(C) $120 + 9\pi$
(D) $156$
(E) $200$
(A) $100$
(B) $120$
(C) $120 + 9\pi$
(D) $156$
(E) $200$