Question

The area of 4 walls of a room is 220 square m. Its length and breadth are 2 m and 3 m . Find the height of the room.

Answer 1

Answer:

The area of four walls of a room is 240m², if the length of a room is thrice its breadth the height is 2 metre, find the area of the floor ?

Method of Solution :

In this Question It is given that The area of four walls of a room is 240m², Which means Lateral surface of room is Given that.

We know that Lateral surface of room is 2(l + b ) h

Let the required value of Breadth be x ,

Length = 3x metres

Breadth = x metres

Height = 2 metres

Now, Substituting this on Formula!

Lateral surface of room = 2(l + b ) h

➩ 2(3x + x)2 = 240 m²

➩ 2(4x)2 = 240 m²

➩ 4(4x) = 240 m²

➩ 16x = 240 m²

➩ x = 15 m

•°• Length = 3x

✏ Length ➩ 3(15) = 45m²

✏ Breadth ➩ x = 15 metres

Area of the Floor = length × Breadth

➩ Area of the Floor = 45 × 15

➩ Area of the Floor = 675 m²

Hence, Required Value of Area of the Floor is 675 m².

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