Breadth and Length Ratio

The ratio between the breadth and the length of the Indian flag is given as 2:3. This means that for every 2 units of breadth, there are 3 units of length.

Let's solve the given questions step by step.

Question a) - Finding the Breadth of the Flag

Given: Length of the flag = 957 cm

To find: Breadth of the flag

We know that the ratio of breadth to length is 2:3. So, we can set up a proportion to solve for the breadth.

Let the breadth of the flag be 2x (as per the given ratio).

Now, we can set up the proportion as follows:

2x / 3x = Breadth / Length

Cross-multiplying, we get:

2x * Length = 3x * Breadth

Given that the length is 957 cm, we can substitute the values:

2x * 957 = 3x * Breadth

Simplifying the equation:

1914x = 3x * Breadth

Dividing both sides by 3x:

Breadth = 1914 / 3

Breadth = 638 cm

Therefore, the breadth of the Indian flag is 638 cm.

Question b) - Finding the Length of the Flag

Given: Breadth of the flag = 456 cm

To find: Length of the flag

Using the same approach as in the previous question, we can set up a proportion to solve for the length.

Let the length of the flag be 3x (as per the given ratio).

Setting up the proportion:

2 / 3 = Breadth / Length

Cross-multiplying, we get:

2 * Length = 3 * Breadth

Given that the breadth is 456 cm, we can substitute the values:

2 * Length = 3 * 456

Simplifying the equation:

2 * Length = 1368

Dividing both sides by 2:

Length = 1368 / 2

Length = 684 cm

Therefore, the length of the Indian flag is 684 cm.

Summary

a) The breadth of the Indian flag is 638 cm.
b) The length of the Indian flag is 684 cm.

The given ratio of 2:3 helps us establish a relationship between the breadth and length of the flag. By setting up proportions and substituting the given values, we can solve for the unknown dimensions of the flag.