Triangular field cost → area → dimensions: The base is three times the altitude. If cultivation costs Rs 24.68 per hectare total Rs 333.18, find base and height (in metres).

Introduction / Context:Convert cost to area using the per-hectare rate, then use the relation between base and height to compute actual dimensions.

Given Data / Assumptions:

• Cost rate = Rs 24.68 per hectare.
• Total cost = Rs 333.18.
• Base b = 3h (h = altitude).

Concept / Approach:Area (hectares) = total cost / rate. Convert hectares to m^2 (1 ha = 10,000 m^2). For a triangle, Area = (1/2)*b*h = (1/2)*3h*h = 1.5*h^2.

Step-by-Step Solution:

Verification / Alternative check:Area = 0.5*900*300 = 135000 m^2 = 13.5 ha; cost = 13.5*24.68 = 333.18 Rs.

Why Other Options Are Wrong:Only B=900;H=300 satisfies both the proportionality and the cost-derived area.

Common Pitfalls:Forgetting to convert hectares to square metres; mixing up base and height roles.

Final Answer:B=900;H=300