Answer
36 $unit^{2}$
Work Step by Step
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 $unit^{2}$.