Class 07 Activity – Area of Parallelogram

Activity – Area of Parallelogram 

Objective : 

To verify the formula for Area of a parallelogram or to verify the following formula. Area of a parallelogram = base x height

Materials Required : 

Squared paper, colour pencils,  a pair Of scissors, glue stick, geometry box, etc.,

Procedure:

On a  squared paper, draw a parallelogram ABCD. Draw. DE (height corresponding to the base AB). Shade the two parts using different colours.

2. Using a pair of scissors, cut out the triangle ADE.

3. Paste the triangular cutout ADE to the right side of BCDE such that AD and BC coincide.

Observations: 

In figure, we see that the resulting figure becomes a rectangle. 

So, area of the parallelogram = area of the rectangle = length x breadth

= CD X DE

= AB X DE  [AB = CD, opposite sides of a parallelogram are equal]

= Base x height 

Conclusion: 

From the above activity we find that Area of a parallelogram = base x height

Do Yourself: 

Draw three different parallelograms on squared papers. In each case, verify the formula for area of a parallelogram by paper cutting and pasting.