# The Purple Triangle of Jeffrey and Trevor

Geometry Level 2

Let $ABCD$ be a square of side length 12.

• $E$ is the midpoint of $CB$,
• $FC = \frac{1}{3} DC$,
• $GD = \frac{1}{4} DA$,
• $AH = \frac{1}{3} AE$,
• $J$ is the midpoint of $FE$.

What is the area of the purple triangle?

×