The given figure shows a parallelogram ABCD. E is a point in AD and CE produced meets BA produced at point F. If AE = 4 cm, AF = 8 cm and AB = 12 cm, find the perimeter of the parallelogram ABCD.
 

The given figure shows a parallelogram ABCD whose diagonals intersect each other at point O. if OB=6 cm and AC is 6 cm more than BD, find OC.

In parallelogram ABCD, AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.

In triangle ABC, D and E are mid-points of the sides AB and AC respectively. Through E, a straight line is drawn parallel to AB to meet BC at F. Prove that BDEF is a parallelogram. If AB = 16 cm, AC = 12 cm and BC = 18 cm, find the perimeter of the parallelogram BDEF.

P is a point on side BC of a parallelogram ABCD. If DP produced meets AB produced at point L, prove that : DP : PL = DC : BL .

In the figure, given below, ABCD is a parallelogram. P is a point on BC such that BP : PC = 1: 2. DP produced meets AB produced at Q. Given the area of triangle CPQ = 20 cm^2 Calculate : area of parallelogram ABCD.

P is a point on side BC of a parallelogram ABCD. If DP produced meets AB produced at point L, prove that : DL : DP = AL : DC

In the given figure, ABCD is a parallelogram. AB is produced to P, such that AB=BP and PQ is drawn parallel to BC to meet AC produced at Q. Given AB=8cm,AD=5cm,AC=10cm . Find the perimeter of quadrilateral BCQP.

The given figure shows a parallelogram ABCD with area 324sq. cm. P is a point in AB such that AP:PB= 1:2 . Find the area of DeltaAPD .

The adjoining figure shows a parallelogram ABCD in which P is mid-point of AB and Q is mid-point of CD. Prove that AE=EF=FC .

In the diagram given below if AF = 21 cm, CE = 30 cm and FB = 7 cm. Find the volume of the figure.