In a square $\displaystyle ABCD$ of side $\displaystyle 6$ units $\displaystyle P, Q$ are mid points of $\displaystyle BC, CD$ respectively.

The line segments $\displaystyle BQ, DP$intersect in $\displaystyle R$ then find the area of the quadrilateral $\displaystyle ABRD$

2. ## Re: Area of quadrilateral

$\displaystyle R$ is the centroid of triangle $\displaystyle BCD$

3. ## Re: Area of quadrilateral

Idea has given the crucial observation for solution of this problem, but no one has given the details. Here they are: