Land area 2

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 area of land? Please show your solution and what kind of proportion is this please

Correct answer:

x =  44 ha

Step-by-step explanation:

$$\begin{gathered} M=20\text{ ha } \\ r={\displaystyle \frac{5}{5+2+4}}={\displaystyle \frac{5}{11}}\doteq 0.4545 \\ M=r\cdot x \\ 20=0.45454545454545\cdot x \\ 0.454545x=20 \\ x=44=44\text{ ha} \end{gathered}$$

Try another example

Related math problems and questions:

• A land 2
  A land owner owns two parcels of land measuring 4 2/5 hectares and 6 1/5 hectares. He sells 3/4 of the total land. How many hectares of the land are left?
• Two brothers
  The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m² in a ratio of 5:4. How many will everyone get?
• Proportion 2
  A car is able to travel 210 km in 3 hours. How far can it travel in 5 hours? Put what kind of proportion is this and show your solution.
• Three 43
  Three brothers inherited a cash amount of 62,000, and they divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?
• Land area
  The land area of Asia and Africa are in a 3: 2 ratio, the European and African are is 1:3. What are the proportions of Asia, Africa, and Europe?
• Proportion 3
  For every 8 mango trees in the orchard, there are 4-star apple trees. If there are 1320 trees, how many trees of each kind are there?
• Photo egative
  Negative dimensions are 36mm and 28mm. What will be the photo size in the 21:4 ratio?
• Change the numbers in the ratio
  Change the numbers 29, 38, and 43 in a 3: 4 ratio.
• Jan
  Jan is 13 years and Peter 21 years old. For how many years will their ages in the ratio of 7:9?
• Garden
  The rectangular garden has dimensions of 27 m and 30 m. Peter and Katka split it in a ratio of 4:5. How many square meters did Katkin measure part of the garden?
• Ratio three numbers
  Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.
• Building
  At the building, we divided 240 boards into two piles in a 5: 3 ratio. How many were fewer boards in the lower pile?
• Reducing scale
  I am sizing some landscaping and I measured everything for a 20 to 1 scale. I realized when I was done that it was at 30 to 1. How can I convert what I already have to 30 to 1. (Example, grass area is 22,871.6' at 20 to 1, how do you figure it out to be 3
• Ratios
  Reduce the numbers: 50 in a 1:2 ratio 111 at a ratio of 2:3 70 at 10:50 560 at a ratio of 3:8
• Report 2
  A School reports students to teacher ratio of 6:1. If there are 45 teachers in the School, how many students are there?
• After 2
  After we planted flowers in 2/5 of our garden, 24m remained unplanted. How many meters is the garden in total? If the total area of the garden is 1, the proportion of the remaining area is?
• Ratio
  Write the ratio with other numbers so that the value is the same: 2: 9