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Question -

In Q.No. 1, if AD = 6 cm, CF = 10 cm, and AE = 8 cm, find AB.



Answer -

Given: Here in the question it is given that
(1) ABCD is a parallelogram,
(2)  and
(3)  
(4) AD = 6 cm
(5) AE = 8cm
(6) CF = 10cm
 
To Find : AB =?
Calculation: We know that formula for calculating the
To Find : AB =?
Calculation: We know that formula for calculating the
Area of paralleogram = base × height
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
Area of Parallelogram ABCD = AB× 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 = 6 × 10 ……(2)
Since equation 1and 2 both represent the Area of the same Parallelogram ABCD , both should be equal.
Hence equation 1 is equal to equation 2
Which means that,
 
Hence we got the measure of AB equal to  

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