Trapezium area: The parallel sides are 12 cm and 10 cm, and the perpendicular distance between them is 14 cm. Find the area of the trapezium.

Introduction / Context:Area of a trapezium uses the average of the parallel sides multiplied by the distance between them.

Given Data / Assumptions:

• a = 12 cm, b = 10 cm (parallel sides)
• Distance (height) h = 14 cm

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

Step-by-Step Solution:

Verification / Alternative check:Compute average of bases: (12+10)/2 = 11; multiply by height 14 → 154.

Why Other Options Are Wrong:121, 164, 186, 140 do not equal 0.5*(22)*14.

Common Pitfalls:Using difference instead of sum of bases, or forgetting the 1/2 factor.

Final Answer:154 sq.cm