Math, asked by crysanthemum, 4 months ago


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?​

Answers

Answered by soni72476
9

Answer:

5  \div 20 = 4

2 \div 20 = 10

4 \div 20 = 5

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Answered by pulakmath007
18

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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