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Question -

In figure, ABCD is a parallelogram, AE DC and CF AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.



Answer -

We know that,
Area of parallelogram = Base x Altitude
Given, AE = 8 cm CF = 10 cm and AB = 16cm
ar (parallelogramABCD) =DC x AE
= 16 x 8 cm2 (
AE = 8 cm)…(i)
and ar (parallelogram ABCD) = AD x CF – AD x 10 (
CF = 10 cm)
From Eq. (i), we have,
16 x 8 = AD x 10

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