a stick 36 cm long is cut into two pieces in the ratio 1:2 how is each piece show the answer
12:24
To determine the lengths of each piece, we need to follow these steps:
Step 1: Understand the given information.
We have a stick that is 36 cm long, and it is cut into two pieces in the ratio 1:2.
Step 2: Define the ratio.
The given ratio is 1:2, which means the two pieces will have lengths in the ratio of 1 to 2.
Step 3: Calculate the total of the ratio parts.
To find the total number of parts in the ratio, we add the two parts together: 1 + 2 = 3.
Step 4: Divide the stick length by the total ratio parts.
We divide the total length of the stick (36 cm) by the total number of parts (3) to determine the value of 1 part: 36 cm ÷ 3 = 12 cm.
Step 5: Multiply the ratio parts by the value of 1 part to find the length of each piece.
To find the length of each piece, we multiply the parts of the ratio by the value of 1 part:
- For the first piece with a ratio of 1, we multiply 1 by 12 cm: 1 × 12 cm = 12 cm.
- For the second piece with a ratio of 2, we multiply 2 by 12 cm: 2 × 12 cm = 24 cm.
Therefore, each piece will have a length of 12 cm and 24 cm, respectively.