Question

#18 find the area of the shaded region. all angles are right angles. 6 cm 20 cm 2 cm a = cm²

Explanation:

Step1: Identify outer rectangle dimensions

The outer rectangle has length $20\ \text{cm}$ and width $6\ \text{cm}$.

Step2: Calculate outer rectangle area

$$A_{\text{outer}} = 20 \times 6 = 120\ \text{cm}^2$$

Step3: Identify cut-out square dimensions

Each cut-out is a square with side $2\ \text{cm}$. There are 4 such squares.

Step4: Calculate total cut-out area

$$A_{\text{cut-out}} = 4 \times (2 \times 2) = 16\ \text{cm}^2$$

Step5: Subtract cut-out area from outer area

$$A_{\text{shaded}} = 120 - 16$$

Answer:

$104\ \text{cm}^2$