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Question


In the given Figure, ABCD is a parallelogram, AEDC and CFAD. If AB=16 cm,AE=8 cm and CF=10 cm, find AD.
463915_9ccf8ca241c0440fb24bf02c05f7b6fb.png

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Solution

Given, AB=CD=16 cm as opposite sides of a parallelogram are equal.
CF=10 cm and AE=8 cm
Now,
Area of parallelogram = Base × Altitude
CD×AE=AD×CF
16×8=AD×10
AD=12810 cm
AD=12.8 cm


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