Important Points on Areas of Parallelograms and Triangles

What is the area of the parallelogram?

In the adjoining figure, area of parallelogram AFEC is 140cm^(2) . State, giving reason, the area of : (i) parallelogram BFED. (ii) triangle BFD.

ABCD , ABEF and AGHF are parallelogram Prove that the area of parallelogram ABCD = area of parallelogram AGHE

If the mid-points of the sides of a quadrilateral are joined in order, prove that the area of the parallelogram, so formed will be half of the area of the given quadrilateral (figure).

In the figure, the area of parallelogram ABCD is

What is the angle between vec(A) and vec(B) , If vec(A) and vec(B) are the adjacent sides of a parallelogram drwan from a common point and the area of the parallelogram is AB//2 ?

O' is any point on diagonal AC of a parallelogram ABCD. Prove that : area of Delta AOD = " area of " Delta AOB

Prove that A diagonal of a parallelogram divides it into two triangles of equal area.

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

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