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Question
The area of a trapezium become 4 times if its height gets doubled.
Options
True
False
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Solution
This statement is False.
Explanation:
We know that,
Area of a trapezium = `1/2 (a + b) xx h`
Where, a and b are the lengths of parallel sides and h is the altitude (height).
Now, if the height gets doubled, then
Area of trapezium = `1/2(a + b) xx 2h = 2(1/2(a + b) xx h)`
Hence, the area is doubled.
So, the statement is false.
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