Question

A parallelogram and a triangle are on equal base and between the same parallel lines. The ratio of their areas is ______.

• A. 2:1
• B. 3:1
• C. 2:3
• D. 1:2

Answer 1

The correct option is A 2:1

Consider the figure given below.

In this figure, ABCD is a parallelogram and ABE is a triangle. Both of them have the same base i.e., AB. The perpendicular EF is an altitude for both triangle and parallelogram.
Now area of $\Delta ABE=\frac{1}{2}AB\times EF$
And area of parallelogram is $AB\times EF$.
Hence, Area of parallelogram is twice that of triangle and the ratio will be 2:1