Area of a Parallelogram

Activity

Use cardboard and construct a parallelogram with base (b) and height (h) as shown in the figure.

As shown in the figure, fold the cardboard perpendicularly from the bottom right vertex and cut folded part.

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Now, bring the cut part (triangle) to the left and join as shown the given figure. What shape do you get?

Here, the rectangle has length (b) and breadth (h).

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Hence the,

Area of rectangle = length × breadth = b × h

Here,

Area of rectangle = area of parallelogram.

Thus, Area of parallelogram = base × height = b × h