The area of the shaded region is 176 square units.
The area of the shaded region in the image can be found by using the following steps:
1. Find the area of the rectangle.
2. Find the area of the triangle.
3. Subtract the area of the triangle from the area of the rectangle to find the area of the shaded region.
Step 1: Find the area of the rectangle.
The length of the rectangle is 22 units and the width of the rectangle is 12 units. Therefore, the area of the rectangle is:
Area of rectangle = length × width
= 22 units × 12 units
= 264 square units
Step 2: Find the area of the triangle.
The base of the triangle is 22 units and the height of the triangle is 8 units. Therefore, the area of the triangle is:
Area of triangle = 1/2 × base × height
= 1/2 × 22 units × 8 units
= 88 square units
Step 3: Subtract the area of the triangle from the area of the rectangle to find the area of the shaded region.
Area of shaded region = area of the rectangle - an area of triangle
= 264 square units - 88 square units
= 176 square units
Therefore, the area of the shaded region is 176 square units.