A piece of timber 273 cm long is cut into three pieces in the ratio 3to 7to 11. Determine the length of the three pieces

Answer 1

We can start by finding the total of the ratios, which is:

3 + 7 + 11 = 21

This means that the whole length (273 cm) is divided into 21 parts. To find the length of each part, we need to divide 273 by 21:

273 ÷ 21 = 13

So each part is 13 cm long. Now we can use the ratios to determine the length of each piece.

The first piece is 3 parts out of 21, so:

3/21 x 273 = 39

The second piece is 7 parts out of 21, so:

7/21 x 273 = 91

The third piece is 11 parts out of 21, so:

11/21 x 273 = 143

Therefore, the length of the three pieces are 39 cm, 91 cm, and 143 cm, respectively.