Area of parallelogram

OBJECTIVE

To find the area of a parallelogram geometrically.

PREREQUISITE KNOWLEDGE

Concept of area of rectangle

Concept of parallelogram

MATERIALS REQUIRED

1.White paper

2.Pencil

3.Scale

4.Eraser

5.Scissors

6.Glue stick...etc

PROCEDURE

1.Draw a parallelogram PQRS on a paper and draw a right-angled triangle PTS  and fill with yellow colour.

                                                                        Image 1

2.Cut off a piece of cardboard in the shape of right  angled ∆ PTS and cover with white paper and place it with hypotenuse PS alongside QR as shown in the (Image 2)

                                                                          Image 2

3.After colouring red,we obtain a rectangle TVRS with length PQ+QV-PT=l 

   and breadth ST.

OBSERVATION

Now,area of a rectangle TVRS is equal to the area of a parallelogram PQRS.

ST is the altitude or height of the parallelogram PQRS.

Therefore, 

Area of rectangle TVRS= l× ST

Therefore,

Area of parallelogram = l×h

Where

l is the base and h is the height

CONCLUSION

So 

 Are of parallelogram= Base × Corresponding altitude