Question

the given figure shows a shaded region enclosed by two squares . if the sides are 24 cm and 18 cm respectively , find the area of the shaded region . ​

Answer 1

Answer

• Area of the shaded region = 252 cm²

Explanation :-

Given

• Side of the bigger square = 24 cm
• Side of the smaller square = 18 cm

To find

• Area of the shaded region

Knowledge required :-

• Formula to calculate area of square :-

⠀⠀⠀⠀⠀⠀Area of square = side × side

~Understanding the concept ::

To find the area of the shaded region. Firstly, we will find the area of the bigger square by using the formula of area of square. Then we will find the area of the smaller square. To find area of the shaded region subtract the area of the smaller square from the area of the bigger square.

Solution

Area of the bigger square :-

⠀⠀⠀⇒ Area of bigger square = side × side

⠀⠀⠀⇒ Area = 24 × 24

⠀⠀⠀⇒ Area = 576

Area of the bigger square = 576 cm²

Area of the smaller square :-

⠀⠀⠀⇒ Area of smaller square = side × side

⠀⠀⠀⇒ Area = 18 × 18

⠀⠀⠀⇒ Area = 324

Area of the smaller square = 324 cm²

Area of the shaded region = Area of bigger square - Area of smaller square

⠀⠀⠀⇒ Area of shaded region = 576 - 324

⠀⠀⠀⇒ Area of shaded region = 252

Area of the shaded region = 252 cm²

Answer 2

Area of bigger square = side × side

= 24cm × 24cm

= 576cm sq.

Area of smaller square = side × side

= 18cm × 18cm

= 324cm sq.

Area of shaded part =

are of bigger square - area of smaller square

= 576cm - 324cm

= 252cm sq.

thus, the area of shaded part = 252cm sq.