Question:

The two parallel sides of trapezium are 2.02 meters and 4.04 meters respectively. The perpendicular distance between them is 5 meter. The area of the trapezium is

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Use the standard CI-SI difference-over-two-years relationship to isolate the rate.
  • 30.30 m²
  • 15.15 m²
  • 8.16 m²
  • 66.60 m²
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The Correct Option is B

Solution and Explanation

The area of a trapezium is found using \(A = \dfrac{1}{2} \times (\text{sum of parallel sides}) \times (\text{height})\).
Substituting the given values: \(A = \dfrac{1}{2} \times (2.02 + 4.04) \times 5 = \dfrac{1}{2} \times 6.06 \times 5 = 15.15\) m².
This straightforward application of the standard formula matches option 2, and it's a good example of how trapezium area problems usually just require careful substitution rather than any complex derivation.
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