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In the figure, ABCD is a parallelogram, AB and BC are equal to 15 cm and 6 cm respectively. If DF = 4 cm, what is the value of BE?


In The Figure, ABCD Is A Parallelogram, AB And BC Are Equal ...


Options:
A .    6 cm
B .   8 cm
C .   10 cm  
D .   12 cm
Answer: Option C
:
C

In The Figure, ABCD Is A Parallelogram, AB And BC Are Equal ...


Given
BC = 6 cm
AD = BC (parallel sides of a parallelogram are equal)
Area (ABCD) = Base × Height
                        = AB × DF = AD × BE
AB × DF = 15 cm × 4 cm
                = 60 square cm
AD × BE = 60 square cm
⇒BE × 6 cm = 60 square cm
⇒BE = 10 cm


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