A farmer wants to plant a mango orchard in one hectare using a pentagonal method. If the distance between mango plants is 8×8 meters, what is the total number of main plants? (RJ Supervisor 2012)

✅Explanation:
The pentagonal method of planting is a high-density planting system where trees are planted at the corners of equilateral triangles. This creates a hexagonal pattern with a tree in the center of each hexagon, maximizing space utilization.

• To calculate the number of plants:
-Area: One hectare is equal to 10,000 square meters.
-Spacing: 8×8 meters spacing means each plant needs 64 square meters.
-Plants in a hexagon: Each hexagon in the pentagonal system effectively accommodates one main plant.
-Approximate number of hexagons: Divide the total area (10,000 sq m) by the area per plant (64 sq m) to get approximately 156 hexagons/main plants.

🔑Key Points:
-Animal breeding aims at increasing the yield of animals and improving the desirable qualities of the produce.
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