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

2:1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3:1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2:3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1:2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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 $Δ A B E = \frac{1}{2} A B \times E F$
And area of parallelogram is $A B \times E F$ .
Hence, Area of parallelogram is twice that of triangle and the ratio will be 2:1

Suggest Corrections

Similar questions

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

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

Q. If a triangle and a parallelogram are on the same base and between same parallel lines then area of triangle is half of area of parallelogram.

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.

Q. If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of their areas is 1 : 1.

Join BYJU'S Learning Program