If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is
a. 1 : 3
b. 1 : 2
c. 3 : 1
d. 1 : 4

Solution:

We know that

Area of triangle = 1/2 Area of parallelogram

So we get

Area of triangle/ Area of parallelogram = 1/2

Ratio will be

Area of triangle: Area of parallelogram = 1: 2

Therefore, the ratio of the area of the triangle to the area of the parallelogram is 1: 2.

✦ Try This: The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 12 cm and 10 cm is :

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 9

NCERT Exemplar Class 9 Maths Exercise 9.1 Problem 9

If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is a. 1 : 3, b. 1 : 2, c. 3 : 1, d. 1 : 4

Summary:

If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram is 1: 2

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