ALPHA DIVISION

Question 22

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Question

Convex quadrilateral

ABCD

has

AB=7,\quad BC=5,\quad CD=12,\quad AD=8,\quad\text{and}\quad \angle DAB=120^\circ.

Its area can be written as

m\sqrt3+n

, where

m

and

n

are positive integers. Find

m+n

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