Question

The length and breadth of a room is 16 m and 12 m respectively. If the total area of the four walls of the room is 784 m², then what is the height of the room?

1. 13 m
2. 14 m
3. 12 m
4. 16 m

Answer 1

Correct Answer - Option 2 : 14 m

Given:

The length and breadth of a room is 16 m and 12 m respectively

The area of four walls = 784 m² 

Formula used:

Area of four walls = 2(L + B) × H

Where,

L = Length of the room

B = Breadth of the room

And, H = Height of the room

Calculation:

According to the formula, we have

{2(16 + 12) × H} = 784 m2 

⇒ 2 × 28 × H = 784 

⇒ H = (784/56) 

⇒ 14 m

∴ The height of the room is 14 m

In a room, the area of two walls consists of length and height, and the other two wall's area consists of breadth and height.