Question

Question 57

State whether the following statement is true or false:

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

Answer 1

False
We know that,
Area of trapezium
$=\frac{1}{2}(a+b)\times h$
where, a and b are the lengths of parallel sides and h is the altitude (height)

Now, if the height gets doubled, the new height is $2h$.

Area of new trapezium
$=\frac{1}{2}(a+b)\times 2h=2\left[\frac{1}{2}\right(a+b)\times h]$

Hence, the area is doubled

So, the statement is false.