Question : The length of two parallel sides of a trapezium are 15 metres and 20 metres. If its height is 22 metres, then what is the area of the trapezium?
Option 1: 295 metre2
Option 2: 385 metre2
Option 3: 425 metre2
Option 4: 315 metre2
Correct Answer: 385 metre 2
Solution :
Given: The length of two parallel sides of a trapezium is 15 metres and 20 metres.
Height = 22 metres
We know, Area of a trapezium = $\frac{1}{2}$ × Sum of two parallel sides × Distance between the parallel sides
⇒ Area of a trapezium = $\frac{1}{2} ×(15+20)×22=\frac{1}{2} ×35×22=385$ metre
2
Hence, the correct answer is 385 metre
2
.
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