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
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.
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.
Similar Questions
In a rectangular hall of length 12m, and breadth 8m, the sum of the areas of the floor and the ceiling is equal to the sum of the area of the four walls. Find the height of the hall.Choices:- 10m 5m 7.5m 4.8m
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
A rectangular building has an area of 1512 square metres. Its perimeter is 164 metres. What are the dimensions of the building?
The cost of papering four walls of a room at 70 paisa per square metre is Rs. 157.50. The height of the room is 5 metres. Find the length and the breadth of the room if they are in the ratio 4 : 1.
Area of rectangular field is 144m² and ratio of its length to breadth is 9:4. Find cost of fencing the field if the cost of wire which is to be fenced is 4 Rs/m?Choices:- Rs 200 Rs 216 Rs 208 Rs 252
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.