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Question -

If the given figure, ABCD is aparallelogram, AE  DC and CF  AD. If AB =16 cm. AE =8 cm and CF =10 cm, find AD.



Answer -

Given: Here in the question it is given
(1) ABCD is a parallelogram,
(2)  and
(3)  , AB = 16 cm
(4) AE = 8cm
(5) CF = 10cm
To Find : AD =?
Calculation: We know that formula for calculating the
Therefore,
Area of paralleogram ABCD = DC × AE (Taking base as DC and Height as AE )
Area of paralleogram ABCD = AB × AE (AB = DC as opposite side of the parallelogram are equal)
Therefore,
Area of paralleogram ABCD = 16 × 8 ……(1)
Taking the base of Parallelogram ABCD as AD we get
Area of paralleogram ABCD = AD × CF (taking base as AD and height as CF)
Area of paralleogram ABCD = AD × 10 ……(2)
Since equation 1 and 2 both represent the Area of the same Parallelogram ABCD , both should be equal.
Hence fro equation (1) and (2),
This means that,
 
Hence we get the result as 

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