Question:
The area of a trapezium becomes 4 times, if its height gets doubled.
Solution:
False
We know that,
Area of a trapezium = 1/2 (a + b) x 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) x 2h = 2(1/2(a + b) x h)
Hence, the area is doubled.
So, the statement is false.