## Elementary Geometry for College Students (7th Edition)

36 $unit^{2}$
We need to find out the shaded region area. Area of the shaded region = area of rectangle - area of triangle. Area of rectangle whose base has length b and height has length h is given by A =bh from the given rectangle base =12, h = 6 area of rectangle = bh = 12 * 6 = 72 $units^{2}$. Area of triangle whose base has length b and altitude has length h is given by A = $\frac{1}{2}$ bh . From given figure , A = $\frac{1}{2}$ * 12 * 6 = 36 $unit^{2}$ . Area of the shaded region = area of rectangle - area of triangle = 72 - 36 = 36 $unit^{2}$.