Question : The two parallel sides of a trapezium are 27 cm and 13 cm respectively. If the height of the trapezium is 8, then what is its area in m2?
Option 1: 0.032
Option 2: 0.056
Option 3: 0.016
Option 4: 0.32
Correct Answer: 0.016
Solution :
Given: The two parallel sides of a trapezium are 27 cm and 13 cm respectively.
Height = 8 cm
$\therefore$ Area of the trapezium
= $\frac{1}{2}\times$ sum of parallel sides × distance between parallel side
= $\frac{1}{2}\times (27 + 13) \times 8$
= $\frac{1}{2}\times 40 \times 8$
= $160$ cm
2
= $\frac{160}{10000}$ m
2
= $0.016$ m
2
Hence, the correct answer is 0.016.
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