Question

Q2) Solve:
a) Floor of a room is a square of side 10m.A carpet
5m by 4 m is spread on the floor. What area of the
room is not covered by the carpet?​

Answer 1

Answer:

80m^ 2

Step-by-step explanation:

area of room = 10×10= 100m^2

area of carpet = 5×4= 20m^2

area of room not covered = 100-20

=80m^2

Answer 2

Answer

• Area of the room not covered by the carpet = 80 m²

Explanation

Given

• Dimensions of a room which is square in shape :-

• Side of the room = 10 m

• Dimensions of a carpet :-

• Length of the carpet = 5 m
• Breadth of the carpet = 4 m

Knowledge required :-

• Formula to calculate area of square :-

⠀⠀⠀ Area of square = side × side

• Formula to calculate area of rectangle :-

⠀⠀⠀ Area of rectangle = l × b

[where : l is the length of the rectangle and b is the breadth of the rectangle.]

~Understanding the concept ::

Here we have to find the area of the room not covered by the carpet. So, for that firstly we will find the area of the room by using the formula of area of square. Then we will find the area of the carpet by using the area of rectangle. To find the area of room not covered hy the carpet, subtract the area of the carpet from the area of room.

Solution

Area of room :-

⠀⠀⠀⇒ Area of room = side × side

⠀⠀⠀⇒ Area = 10 × 10

⠀⠀⠀⇒ Area = 100

Area of room = 100 m²

Area of the carpet :-

⠀⠀⠀⇒ Area of the carpet = l × b

⠀⠀⠀⇒ Area = 5 × 4

⠀⠀⠀⇒ Area = 20

Area of the carpet = 20 m²

Area of the room not covered by the carpet = Area of room - Area of the carpet

⠀⠀⠀⇒ (100 - 20) m²

⠀⠀⠀⇒ 80 m²

Area of the room not covered by the carpet = 80 m²