Question

The area of a trapezium become 4 times if its height gets doubled.

Options

• True

• False

Answer 1

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.