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The area of four walls of a room is 1440 sq. m. The length is twice its breadth and its heightis 6 m. Find the length and breadth of the room.

Question

Problem Statement

The area of four walls of a room is 1440 sq. m. The length is twice its breadth and its height is 6 m.

Find the length and breadth of the room.

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Solution

To solve this problem, we need to use the formula for the area of the four walls of a room, which is 2*(length + breadth)*height.

Given: Area = 1440 sq.m Height = 6 m

We can substitute these values into the formula:

1440 = 2*(length + breadth)*6

Solving this equation gives:

length + breadth = 1440 / (2*6) length + breadth = 120

We also know that the length is twice the breadth. We can represent this as:

length = 2*breadth

Substituting this into the previous equation gives:

2breadth + breadth = 120 3breadth = 120

Solving for breadth gives:

breadth = 120 / 3 breadth = 40 m

Substituting breadth = 40 into the equation length = 2*breadth gives:

length = 2*40 length = 80 m

So, the length of the room is 80 m and the breadth of the room is 40 m.

This problem has been solved

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