# Geometry At It's Best

**Geometry**Level 5

\(D\) and \(E\) are points of trisection of \(AB\).

\(F\) divides \(BC\) in the ratio \( 1:3\) and \(G\) divides \(BC\) in the ratio \(3:1\)

\(AF , AG , CD \ \& \ CE \) are drawn such that they intersect to form \(\Box PQSR\)

\( \dfrac{A(\triangle ABC)}{A(\Box PQSR)}=\dfrac{m}{n}\)

Find \(m-n\)

**Details and Assumptions**:-

- \(gcd(m,n)=1\)