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# 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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