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.
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