Square field — Cultivation costs ₹ 160 per hectare. Total cultivation cost is ₹ 1,440. At ₹ 0.75 per meter, what is the fencing cost around the field?

Introduction / Context:
Use cultivation cost per hectare to infer area. For a square, side = sqrt(area). The perimeter then yields fencing length and thus its cost at the given rate per meter.

Given Data / Assumptions:

• Cost rate = ₹ 160/ha
• Total cultivation cost = ₹ 1,440
• Fencing rate = ₹ 0.75/m
• 1 hectare = 10,000 m2

Concept / Approach:
Area (ha) = 1,440 / 160 = 9 ha = 90,000 m2. For a square, side s = sqrt(90,000) = 300 m. Perimeter = 4s ⇒ fencing cost = perimeter * rate.

Step-by-Step Solution:
Perimeter = 4 * 300 = 1,200 mFencing cost = 1,200 * 0.75 = ₹ 900

Verification / Alternative check:
Units consistent: meters for length, rupees for cost.

Why Other Options Are Wrong:
They reflect incorrect square root, perimeter, or rate multiplication.

Common Pitfalls:
Confusing square meters with hectares; forgetting that fencing uses perimeter, not area.

Final Answer:
Rs. 900