- If 11.25m of a uniform iron rod weighs 42.75 kg.

- The weight of 6m of the same rod can be figure out in this way.

## Explanation

Two given entities here are

- Length
- Weight

To determine the relation here, let suppose; weight of 6m rod = y

__Case__

As we know that;

Length Weight

11.25 42.75

6 y

- Weight increases as the length increased.
- Weight decreases as the length decreased.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

11.25 : 6 :: 42.75 : y ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 22.8 kg)

## To Find

Weight of 6m rod = y

## Solution

__Method I__

Let suppose

Weight of 6m rod = y

Length Weight

11.25 42.75

6 y

Relation between length and weight is direct, so;

11.25 : 6 :: 42.75 : y

11.25 x y = 6 x 42.75

y = 256.5/11.25

y = 22.8 kg

**Weight of 6m rod = 22.8 kg answer**

__Method II__

Weight of 11.25m uniform rod = 42.75 kg

Weight of 1m uniform rod = 42.75/11.25

Weight of 1m uniform rod = 3.8 kg

Weight of 6m uniform rod = 3.8 x 6

Weight of 6m uniform rod = 22.8 kg

**Weight of 6m rod = 22.8 kg answer**

## Conclusion

If 11.25m of a uniform iron rod weighs 42.75 kg, the weight of 6m rod will be 22.8 kg.