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

Length = $20\ \text{cm}$, Width = $20 + 6 = 26\ \text{cm}$

Step2: Calculate outer rectangle area

$\text{Area}_{\text{outer}} = 20 \times 26 = 520\ \text{cm}^2$

Step3: Calculate area of cutouts

Each cutout is $2 \times 6 = 12\ \text{cm}^2$, 4 cutouts total:
$\text{Area}_{\text{cutouts}} = 4 \times 12 = 48\ \text{cm}^2$

Step4: Subtract cutouts from outer area

$\text{Area}_{\text{shaded}} = 520 - 48$

Answer:

$472\ \text{cm}^2$