A villager Itwarri has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of his plot from one of the corners to construct a Health Centre. Itwarri agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how this proposal will be implemented

ABCD is quadrilateral and BD is one of its diagonals; as shown in the figure. Find the area of quadrilateral ABCD.

In ABCD is a quadrilateral and BE∥AC and also BE meets DC produced at E. Show that area of △ADE is equal to the area of the quadrilateral ABCD.

In fig, ar(DRC)=ar(DPC) and ar(BDP)=ar(ARC). then both the quadrilaterals ABCD and DCPR are trapeziums.

In figure, ABCD is a parallelogram AE⊥DC and CF⊥AD. If AB=16 cm, AE=8 cm and CF=10 cm find AD.

ABC is a triangle in which D is the mid-point of BC and E is the mid-point of AD. Find the ratio of the area of △BED and area of △ABC.

In fig, ABCD is a parallelogram and BC is produced to a point Q such that AD=CQ. If AQ intersect DC at P, then ar(BPC)=ar(DPQ).

BD is a median of a triangle ABC. F is a point on AB such that CF intersects BD at E and BE = ED. If BF = 5 cm, BA is equal to 5k then k is A 1

In fig, ar(DRC)=ar(DPC) and ar(BDP)=ar(ARC). then both the quadrilaterals ABCD and DCPR are trapeziums.

The base BC of triangle ABC is divided at D so that BD=$\displaystyle \dfrac{1}{2}$  DC. Area of △ABD=