Question : The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium is 4 cm, then its area is:
Option 1: 28 cm
Option 2: 28 sq. cm
Option 3: 30 sq. cm
Option 4: 30 cm
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Correct Answer: 28 sq. cm
Solution :
Given: The lengths of two parallel sides of a trapezium are 6 cm and 8 cm also the height of the trapezium is 4 cm.
We know,
The area of a trapezium = $\frac{1}{2}$ × (sum of the parallel sides) × (height of the trapezium)
= $\frac{1}{2}$ × (6 + 8) × 4
= $\frac{1}{2}$ × 14 × 4
= 28 sq. cm
Hence, the correct answer is 28 sq. cm.
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