66.2k views
1 vote
3. The length and breadth of a hall are 28 m and 21 m respectively. If the ratio of its length to its height is 7:6, find the ratio of its breadth to its height.​

1 Answer

3 votes

Answer: The ratio of the breadth to the height of the hall is 7:8

Explanation:

The ratio of the length to the height of the hall is 7:6, which means that if the length of the hall is represented by 7, the height is represented by 6. We can write this as a proportion as follows:

7/6 = L/H

We know that the length of the hall is 28 meters, so we can substitute this value for L in the proportion to find the height:

7/6 = 28/H

Solving for H, we get:

7/6 = 28/H

7H = 168

H = 168/7 = 24

The height of the hall is 24 meters.

The ratio of the breadth of the hall to its height is the same as the ratio of 21 to 24, which simplifies to 7:8. Therefore, the ratio of the breadth to the height of the hall is 7:8.

User Scott Noyes
by
6.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.