Question

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

Explanation:

Step1: Identify full rectangle dimensions

The outer full rectangle has length $20\ \text{cm}$ and width $6\ \text{cm}$.
Area of full rectangle: $20 \times 6 = 120\ \text{cm}^2$

Step2: Calculate area of cut-out squares

Each cut-out is a square with side $2\ \text{cm}$. There are 4 such squares.
Area of 1 square: $2 \times 2 = 4\ \text{cm}^2$
Total area of 4 squares: $4 \times 4 = 16\ \text{cm}^2$

Step3: Subtract cut-out area from full area

Shaded area = Full rectangle area - Total cut-out area
$\text{Shaded Area} = 120 - 16$

Answer:

$104\ \text{cm}^2$