Question

1. find the area of the shaded region in the figure shown.

18 m
12 m
5 m
area = $\boldsymbol{square}$ $m^{2}$

Explanation:

Step1: Calculate area of outer square

The outer shape is a square with side length 18 m. Area of a square is side squared.
$\text{Area}_{\text{outer}} = 18^2 = 324 \, \text{m}^2$

Step2: Calculate area of inner rectangle

The inner shape is a rectangle with length 12 m and width 5 m. Area of a rectangle is length × width.
$\text{Area}_{\text{inner}} = 12 \times 5 = 60 \, \text{m}^2$

Step3: Subtract inner area from outer area

Shaded area is outer area minus inner area.
$\text{Area}_{\text{shaded}} = 324 - 60$

Answer:

$264 \, \text{m}^2$