answer the question in the given picture
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ABCD is a parallelogram.
AL⊥CD and AM⊥BC [ Given ]
AB=12cm, AD=8cm and AL=6cm
We know, opposite sides of a parallelogram are equal.
AB=CD and AD=BC
∴ CD=12cm and BC=8cm
⇒ Area of a parallelogram ABCD=AL×CD
=6×12
=72cm
2
------ ( 1 )
⇒ Area of a parallelogram ABCD=AM×BC
=AM×8 ----- ( 2 )
Comparing ( 1 ) and ( 2 ) we get,
⇒ AM×8=72
∴ AM=9cm
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