Answer:
34.5 cm²
Explanation:
The area of the shaded region is the area of the rectangle minus the area of the right triangle.
The area of the rectangle is simply the length 7 cm multiplied by the width 6 cm.
To find the area of the right triangle, you must first find the base and height of the triangle.
The two lengths can be found this way:
7 cm - 2 cm = 5 cm
6 cm - 3 cm = 3 cm
area of shaded region = LW - bh/2
area of shaded region = 7 cm × 6 cm - 5 cm × 3 cm / 2
area of shaded region = 42 cm² - 7.5 cm²
area of shaded region = 34.5 cm²