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

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

Dear student,


Area of parallelogram=base×heightArea of parallelogram when considering altitude AE=DC×AEArea of parallelogram ABCD=16×8             [DC=AB=16 cm as opposites sides are equal in gm]Area of parallelogram ABCD=128 cm2Now, Area of parallelogram ABCD when considering altitude CF=AD×CF128=AD×10AD=12810AD=12.8 cm

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it is 16 cm
 
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