Question

If 22.5 metre of a uniform iron rod weight 85.5 kg , what will be the length of 22.8 kg of the same rod?​

Answer 1

The length of the 22.8 kg rod would be 6.8 meters

To solve, we create a proportional expression thus ;

• Length = mass

Now we have :

22.5 = 85.5

L = 22.8

cross multiply

L × 85.5 = 22.8 × 22.5

L = 6.8 meters

Hence, the length of the rod would be 6.8 meters

Answer 2

6 meters

Explanation:

You need to find the rate of kilograms per meter.

Using the given information, there are 85.5 kilograms in 22.5 meters.

`(85.5)/(22.5)`

simplify to a denominator of 1:

`(85.5)/(22.5)` =
`(3.8)/(1)`

3.8 kilograms per meter.

Now you can write an equation:

3.8 × L = K, where L is length and K is weight in kilograms

Weight is given: 22.8kg

Plug in length for K in the equation:

3.8 × L = 22.8

Solve for L:

L =
`(22.8)/(3.8)`

L = 6