In the given figure, ABCD is a ‖gm in which AB = CD = 5cm and BD⊥DC such that BD = 6.8cm. Then, the area of ‖gm ABCD = ?

Given:


AB = CD = 5cm


BD⊥DC


BD = 6.8cm


Now, consider the parallelogram ABCD


Here, let DC be the base of the parallelogram then BD becomes its altitude (height).


Area of the parallelogram is given by: Base × Height


∴ area of ‖gm ABCD = CD×BD = 5×6.8 = 34cm2


∴area of ‖gm ABCD = 34cm2.

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