Trapezium area from two bases and distance: The two parallel sides of a trapezium are 1 m and 2 m. The perpendicular distance between them is 6 m. Find the area of the trapezium.

Introduction / Context:
This is a direct application of the trapezium area formula using metric units without conversion.

Given Data / Assumptions:

• a = 1 m
• b = 2 m
• h = 6 m

Concept / Approach:
Area = (1/2)*(a + b)*h.

Step-by-Step Solution:
Area = (1/2)*(1 + 2)*6 = (1/2)*3*6 = 9 sq. meters

Verification / Alternative check:
Units: meters for lengths, sq. meters for area—consistent.

Why Other Options Are Wrong:
18 doubles the correct value; 12 and 6 are incorrect scalings.

Common Pitfalls:
Forgetting to average the bases (sum then half) or mishandling the 1/2 factor.

Final Answer:
9 sq. meters