The problem asks to calculate the area of the shaded triangle. The triangle is inside a rectangle with dimensions $9$ cm and $12$ cm. The base of the triangle is $9$ cm and the height of the triangle is $12$ cm.

1. Problem Description

The problem asks to calculate the area of the shaded triangle. The triangle is inside a rectangle with dimensions $9$ cm and $12$ cm. The base of the triangle is $9$ cm and the height of the triangle is $12$ cm.

2. Solution Steps

The formula for the area of a triangle is:

$Area = \frac{1}{2} \times base \times height$

In this case, the base of the triangle is $9$ cm and the height of the triangle is $12$ cm. Therefore, the area of the triangle is:

$Area = \frac{1}{2} \times 9 \times 12$

$Area = \frac{1}{2} \times 108$

$Area = 54$

3. Final Answer

The area of the shaded triangle is $54$ cm$^2$.