Question

Use the following figure, showing the layout of a farm house:

1. What is the area of land used to grow hay?
2. It costs ₹ 91 per m² to fertilise the vegetable garden. What is the total cost?
3. A fence is to be enclosed around the house. The dimensions of the house are 18.7 m × 12.6 m. At least how many metres of fencing are needed?
4. Each banana tree required 1.25 m² of ground space. How many banana trees can there be in the orchard?

Answer 1

1. Area of land used to grow hay = 17.8m × 106 m = 18868 m²  ......[∵ Area of rectangle = Length × Breadth]
2. ∴ Area of vegetable garden = 49 m × 15.2 m = 744.80 m²
   ∵ Cost to fertilise 1 m² vegetable garden = ₹ 91
   ∴ Cost to fertilise 744.80 m² vegetable garden = ₹ 91 × 744.80 = ₹ 67776.80
3. Since, fence is to be enclosed around the house of dimensions 18.7 m × 12.6 m
   ∵ Perimeter of the house = 2 × (l + b)
   ∴ Total length of fence = 2 × (18.7 + 12.6) m = 2 × 31.3 m = 62.6 m
4. Area covered by banana orchard = 20 m ×  15.7 m = 314 m²
   Since, 1.25 m² area is required by 1 banana tree
   ∴ 314 m² area is required by number of banana trees = `314/1.25` = 251.25 ≈ 251 trees.