Q2 of 83 Page 367

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

We know that any two or parallelogram having the same base and lying between the same parallel lines are equal in area.


Consider two ||gms ABCD and PQRS which are on same base and lie between same parallel lines.


∴ ar(||gm ABCD) = ar(||gm PQRS) –1


∴ ar(||gm ABCD ) : ar(||gm PQRS) = 1:1 (∵ eq –1)

More from this chapter

All 83 →
34

Which of the following is a false statement?

A) If the diagonals of a rhombus are 18cm and 14cm, then its area is 126cm2.


B) Area of a ‖gm = x base x corresponding height.


C) A parallelogram and a rectangle on the same base and between the same parallels are equal in area.


D) If the area of a ‖ gm with one side 24cm and corresponding height h cm is 192cm2, then h = 8cm.

 1

The area of ‖ gm ABCD is

 3

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area. Then, ABCD

 4

In the given figure, ABCD and ABPQ are two parallelograms and M is a point on AQ and BMP is a triangle.

Then, ar(∆BMP) = ar(‖gm ABCD).