Question

a rectangular region is removed from another rectangular region to create the shaded region shown below. find the area of the shaded region.
8 cm
11 cm
6 cm
9 cm
cm²

Explanation:

Step1: Calculate area of outer rectangle

The outer rectangle has length \( 11 \, \text{cm} \) and width \( 9 \, \text{cm} \). The area of a rectangle is \( \text{length} \times \text{width} \), so \( A_{\text{outer}} = 11 \times 9 = 99 \, \text{cm}^2 \).

Step2: Calculate area of inner rectangle

The inner rectangle has length \( 8 \, \text{cm} \) and width \( 6 \, \text{cm} \). Using the rectangle area formula, \( A_{\text{inner}} = 8 \times 6 = 48 \, \text{cm}^2 \).

Step3: Subtract inner area from outer area

The shaded area is \( A_{\text{outer}} - A_{\text{inner}} = 99 - 48 = 51 \, \text{cm}^2 \).

Answer:

\( 51 \)