Answer:
44 hectares
Step-by-step explanation:
The largest number in the ratio is 5 and corresponds to the largest share.
The largest share is 20 hectares.
20/5 = 4
Multiply each number in the ratio by 4 to get the number of hectares of that portion.
5 * 4 = 20
2 * 4 = 8
4 * 4 = 16
20 + 8 + 16 = 44
Answer: 44 hectares
If you need to show a proportion, then do it this way.
The ratio is 5:2:4
Add 5 + 2 + 4 = 11
The ratio of the largest portion to the total area is
5/11
The largest portion is 20 hectares, and the total area is unknown, so we use x. The ratio of the largest portion to the total area is
20/x
We set the two ratios equal creating a proportion.
5/11 = 20/x
Cross multiply
5x = 11 * 20
Divide both sides by 5
x = 11 * 4
x = 44
Answer: 44 hectares
