Final answer:
To divide the land in the 1:2:3 ratio, we calculate each part to be 5 hectares. The first child receives 5 hectares and the second child receives 10 hectares of land.
Step-by-step explanation:
The question involves dividing a 30-hectare land among three children in the ratio 1:2:3, with the oldest receiving the largest share. To solve the problem, we need to represent the total land as the sum of parts that respect the given ratio.
- First, calculate the sum of the parts as 1+2+3 which equals 6 parts.
- Then, find the size of each part by dividing the total land area by the sum of parts: 30 hectares ÷ 6 = 5 hectares per part.
- Multiply each part by the corresponding ratio to determine how much land each child receives. The first child gets 1 part, so 1 x 5 hectares = 5 hectares, and the second child gets 2 parts, so 2 x 5 hectares = 10 hectares.