Question

A room is 6m long and 5 m wide.It has a 50cm wide verandah all around it. Calculate the area of the verandah

Answer 1

Answer:

To Find :-

• The area of verandah

Solution :-

Given that,

• Length of the room = 6m
• Breadth of the room = 5m
• The room has 50cm wide verandah around the room.

Firstly, we need to convert 50cm to m.

$\longrightarrow$ 50cm = 0.5m

Therefore,

Length of the room = 6m

Breadth of the room = 5m

The area of the room is,

⟶ Area = Length × Breadth

⟶ Area = ( 6 × 5 )m²

⟶ Area = 30m²

Now,

Length of the room including the verandah

⟶ Area = Length × Breadth [ 6 + ( 0.5 + 0.5 ) ]m

⟶ Area = Length × Breadth ( 6 + 1 ) m

⟶ 7m

Breadth of the room including the verandah

⟶ [ 5 + ( 0.5 + 0.5 ) ]m

⟶ ( 5 + 1 )m

⟶ 6m

Therefore,

Area of the room including the verandah

⟶ 7m × 6m

⟶ ( 7 × 6 )m²

⟶ 42m²

According the question,

The area of verandah is,

⟶ Area of the room with verandah - Area of the room

⟶ 42m² - 30m²

⟶ ( 42 - 30 )m²

⟶ 12m²

The area of the verandah is 12m².