Question 3
Quadrilateral $ABCD$ has perimeter $60$ cm and $AB$ has length $9$ cm. Sides $AD$ and $BC$ are parallel with distance $7$ cm between them. Points $E$ and $F$ are chosen on sides $BC$ and $AD$ respectively so that the line $EF$ divides $ABCD$ into two quadrilaterals with equal perimeters and equal areas. What is the area of quadrilateral $ABCD$?