Question

4.) A land area was divided among the three heirs in the ratio 5:2:4. If the
largest share was 20 hectares of land, what is the total are of the land?​

Answer 1

Answer:

$5 \div 20 = 4$

$2 \div 20 = 10$

$4 \div 20 = 5$

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Answer 2

SOLUTION

GIVEN

• A land area was divided among the three heirs in the ratio 5 : 2 : 4

• The largest share was 20 hectares of land

TO DETERMINE

The total area of the land

EVALUATION

Let the total area of the land = L hectares

Now it is given that the land area was divided among the three heirs in the ratio 5 : 2 : 4

So the largest share is

$\displaystyle \sf{ = L \times \frac{5}{5 + 2 + 4} \: \: hectares}$

$\displaystyle \sf{ = \frac{5L}{11} \: \: hectares}$

Now it is also given that the largest share was 20 hectares

So by the given condition

$\displaystyle \sf{ \frac{5L}{11} \: = 20}$

$\displaystyle \sf{ \implies L =20 \times \frac{11}{5} }$

$\displaystyle \sf{ \implies L =4 \times 11}$

$\displaystyle \sf{ \implies L =44 }$

FINAL ANSWER

The total area of the land = 44 hectares

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