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
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 รท 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.