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Constructions

Question
CBSEENMA9002836
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In figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD. 

Solution

ar(parallelogram ABCD) = AB x AE = 16 x 8 cm2
= 128 cm2    ...(1)
ar(parallelogram ABCD) = AD x CF
= AD x 10 cm2    ...(2)
From (1) and (2), we get
AD X 10 = 128
rightwards double arrow space space AD equals 128 over 10
rightwards double arrow  ad = 12.8 cm

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