Question

a rectangular region is removed from another rectangular region to create the shaded region shown below. find the area of the shaded region. 12 cm, 13 cm, 6 cm, 8 cm

Explanation:

Step1: Calculate area of outer rectangle

The outer rectangle has length \( 13 \, \text{cm} \) and width \( 8 \, \text{cm} \). The area of a rectangle is \( \text{length} \times \text{width} \), so the area of the outer rectangle is \( 13 \times 8 \).
\( 13 \times 8 = 104 \, \text{cm}^2 \)

Step2: Calculate area of inner rectangle

The inner rectangle has length \( 11 \, \text{cm} \) and width \( 6 \, \text{cm} \). Using the same area formula, the area of the inner rectangle is \( 11 \times 6 \).
\( 11 \times 6 = 66 \, \text{cm}^2 \)

Step3: Subtract inner area from outer area

To find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle: \( 104 - 66 \).
\( 104 - 66 = 38 \, \text{cm}^2 \)

Answer:

\( 38 \)