Question : The two parallel sides of a trapezium are 17 cm and 15 cm, respectively. If the height of the trapezium is 6 cm, then its area (in m2) is:
Option 1: 9.6
Option 2: 960
Option 3: 0.96
Option 4: 0.0096
Correct Answer: 0.0096
Solution :
The area of a trapezium = $\frac{1}{2}$ × sum of lengths of parallel sides × height
Substituting the given values,
The area of the trapezium = $\frac{1}{2}$ × (17 + 15) × 6 = 96 cm
2
We know that, 1 m
2
= 10,000 cm
2
Area = $\frac{96 \, \text{cm}^2}{10,000}$ = 0.0096 m
2
Hence, the correct answer is 0.0096.
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