The coordinate grid shown represents a map of a park. A portion of the park is going to be upgraded with new playground equipment and flowers.

The portion of the park that is to receive upgrades has the following coordinates:
Point $A(-4,4)$
Point $B(3,4)$
Point $C(3,-2)$
Point $D(-4,-2)$

The triangular area between points $A, B$, and $D$ will be decorated with red, white and blue flowers. $\frac{1}{3}$ of triangle $A B D$ will have red flowers. How much area, in square yards, will have red flowers?