Mathcounts National Sprint Round Problems And Solutions -

In rectangle $ABCD$, point $E$ is on side $AB$ such that $AE = 2$ and $EB = 4$. Point $F$ is on side $BC$ such that $BF = 3$ and $FC = 3$. Line segments $DE$ and $DF$ are drawn. What is the area of triangle $DEF$?

Before we look at the math, understand the pacing. You have 1 minute and 20 seconds per problem. Mathcounts National Sprint Round Problems And Solutions