The question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct answer.


Assertion (A)



Reason (R)



In the given figure, ABCD is a gm in which DE AB and BF AD. If AB = 16cm, DE = 8cm and BF = 10cm, then AD is 12cm.




Area of a gm = base x height.


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


Area of the parallelogram is given by: Base × Height


Area of gm ABCD = AB×DE = 16×8 = 128cm2


Now,


Consider AD as base of the parallelogram then BF becomes its altitude (height)


area of gm ABCD = AD × BF = 128cm2


AD × 10 = 128cm2


AD = = 12.8cm


length of AD = 12.8cm


Assertion is false and Reason is true

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