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.
Aptitude
Area
Difficulty: Easy
Choose an option
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A121 sq.cm
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B154 sq.cm
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C186 sq.cm
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D164 sq.cm
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E140 sq.cm
Answer
Correct Answer: 154 sq.cm
Explanation
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:
A = 0.5 * (12 + 10) * 14A = 0.5 * 22 * 14 = 11 * 14 = 154 sq.cmVerification / 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