Area of Parallelograms and Triangles-Sample Papers

1.   Find the area of trapezium PQRS given in the figure.

2.   PQRS is a square. T and U are respectively, the mid points of PS and QR. Find the area of ΔOTS, if PQ = 8 cm, where O is the point of intersection of TU and OS.

3.   Find the area of ΔABC given in the adjoining figure.

4.   In the adjoining figure, the area of ΔBCE is 21 cm². If CD = 6 cm, then find the length of AF.

5.   In the adjoining figure, the area of a parallelogram ABCD is 40 cm². If PQ is a median of ΔCDP then, find the area of ΔPDQ.

6.   In the adjoining figure, find the area of the trapezium ABCD.

7.   In the figure BD || CA, E is mid-point of CA and

         Prove that ar (ΔABC) = 2 ar(ΔDBC)

8.   Find the area of the following quadrilateral.