Question

A piece of ribbon is cut in the ratio 2:3:4.if the largest piece is 16cm, then the length before it is cut is

Answer 1

Let the lengths be 2x , 3x and 4x .
According to the question
4x = 16
x = 4 cm
So , Total Length = 2x+3x+4x = 9x = 9*4 = 36 cm

Answer 2

Given,

A piece of ribbon is cut in the ratio 2:3:4.

Largest piece = 16 cm

To find,

The total length of the ribbon.

Solution,

The length of the ribbon before cutting will be 36 cm.

We can easily solve this problem by following the given steps.

According to the question,

A piece of ribbon is cut in the ratio 2:3:4.

Now, let's take the three pieces to be of length 2x, 3x and 4x units.

The largest piece will be one of length 4x units.

Now,

The length of the largest piece = 16 cm

4x = 16 cm

x = 16/4

x = 4 cm

So, the lengths of the three pieces after putting the value of x are as follows:

2x = 8 cm

2x = 8 cm3x = 12 cm

2x = 8 cm3x = 12 cm4x = 16 cm

Now, the total length = sum of the lengths of three pieces

Length = (8+12+16) cm

Length = 36 cm

Hence, the length of the ribbon before cutting is 36 cm.