In the adjoining figure, ABCD and BQSC are two parallelograms. then ar(△RSC)=ar(△PQB) .

Find the area of a trapezium whose parallel sides are 9 cm and 6 cm respectively and the distance between these sides is 8 cm.

ABCD is a parallelogram in which BC is Produced to P such that CP=BC , as shown in the adjoining figure AP intersects CD at M. If ar(DMB) =7cm 2 find the area of parallelogram ABCD.

The vertex A of △ABC is joined to point D on the side BC. The midpoint of AD is E. then ar(△BEC)= $\displaystyle \dfrac{1}{2}$  ar(△ABC)

In the adjoining figure, DE∣∣BC. then ar(△ACD)=ar(△ABE)

In the adjoining figure, CE∣∣AD and CF∣∣BA. then ar(△CBG)=ar(△AFG).

In the adjoining figure, MNPQ and ABPQ are parallelogram and T is any point on the side BP. then ar(△ATQ)=1/2ar(MNPQ).

In the adjoining figure, show that ABCD is parallelogram. Calculate the area of parallelogram ABCD.

In a triangle ABC, the medians BE and CF intersect at G. Then ar(△BCG)=ar(AFGE).

BD is one of the diagonals of a quad, ABCD. If AL⊥BD and CM⊥BD, then (□ ABCD)=$\displaystyle \dfrac{1}{2}$ × BD×(AL+CM).

Show that a diagonal divides a parallelogram into two triangles of equal area

In the adjoining figure, ABCD is a quadrilateral in which diag BD=14 cm. If AL⊥BD and CM⊥BD such that AL=8 cm and CM=6 cm, find the area of □ABCD.

If E,F,G and H are respectively the mid-points of the sides of a parallelogram ABCD, show that ar(EFGH)=$\displaystyle \dfrac{1}{2}$  ar(ABCD)

In a parallelogram ABCD, it being that AB=10 cm and the altitudes corresponding to the sides AB and AD ate DL=6 cm and BM=8 cm, respectively. Find AD.

In the given Figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that

A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the fields is divided? What are the shapes of these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately. How should she do it?

In fig, ABC and ABD are two triangles on the same base AB. If line-segment CD is bisected by AB at O, show that ar(ABC)=ar(ABD).

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Diagonals AC and BD of a trapezium ABCD with ABparallelDC intersect each other at O. then ar(AOD)=ar(BOC)

PQRS is a square. T and U are respectively, the mid-points of PS and QR (Fig.). Find the area of ∆OTS, if PQ = 8 cm, where O is the point of intersection of TU and QS.