Question

Two parallelograms are on the same base and between the same parallels. The ratio of their areas is :

• A. $1:1$
• B. $1:2$
• C. $2:1$
• D. $1:4$

Answer 1

The correct option is A $1:1$

We know that,

Area of a parallelogram = base ⨯ height

Now, if both parallelograms are on the same base and between the same parallels, then their heights will be equal.

Hence, their areas will also be equal.

$ar\left({\parallel }^{gm}1\right)=ar\left({\parallel }^{gm}2\right)$

Since both areas are equal they get cancelled on both sides,

i.e, $1:1.$

Hence, the answer is $1:1.$