Area of Parallelograms and Triangles-Sample Questions

1.   In triangle ABC, AD is a median. If the area of ΔABD is 15 cm sq. then find the ar(ΔABC).

2.   ABCD is a parallelogram and BPC is a triangle with P falling on AD. If the area of parallelogram ABCD= 26 cm², find the area of triangle BPC.

3.   PQRS is a parallelogram and PQT is a triangle with T falling on RS. If area of triangle PQT = 18 cm², then find the area of parallelogram PQRS.

4.   ABCD is a parallelogram where E is a point on AD. Area of ΔBCE = 21 cm². If CD = 6 cm, then find the length of AF.

5.   The area of ΔABC = 32 cm². AD is a median and E is the mid-point of AD. Find the area of ΔBED.

6.   ABCD is a parallelogram and BC is produced to a point Q such that AD= CQ. If AQ intersects DC at P, show that area of ΔBPC= area of ΔDPQ.

7.   Area of triangle ABC=24cm². F, E and D are the midpoints of sides AB, AC, BC respectively. Find the area of triangle EFD and of parallelogram BDEF.

8.   Find the area of trapezium whose parallel sides 9cm and 5cm respectively and the distance between these sides is 8cm.