Question

A parallelogram and a triangle are on equal bases and between the same parallel lines. The ratio of the area of parallelogram : area of triangle is 2:1.

• A. True
• B. False

Answer 1

The correct option is A

True

The given statement is true. Consider the figure given below.In this figure, ABCD is a parallelogram and ABE is a triangle.

Parallelogram and triangle 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