Question 27
The trapezium $ABCD$ has $AB=100$, $BC=130$, $CD=150$ and $DA=120$, with right angles at $A$ and $D$.
An interior point $Q$ is joined to the midpoints of all 4 sides. The four quadrilaterals formed have equal areas.
What is the length $AQ$?

An interior point $Q$ is joined to the midpoints of all 4 sides. The four quadrilaterals formed have equal areas.
What is the length $AQ$?
