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A land area was divided among three heirs in the ratio 5:2:4 . if the largest share was 20 hectares of the land .what is the total area of the land

with solution please and what type of proportion thank you very much


1 Answer

10 votes

Answer:

44 hectares

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

User Stephan Klein
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