Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing?
The scale factor between the actual triangle and the scale drawing is $\frac{2}{5}$. This means that every dimension in the scale drawing is $\frac{2}{5}$ of its corresponding dimension in the actual triangle. The base of the scale drawing is $\frac{2}{5}\cdot8=3.2$ inches. The area of the triangle is $\frac{1}{2}(5)(8)=20$ square inches. The scale area is $\left(\frac{2}{5}\right)^2\cdot20=\boxed{1.6}$ square inches.
