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Question:

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

Solution:

Given, AB=CD=16cm (Opposite sides of a parallelogram)
CF=10cm and AE=8cm
Now, Area of parallelogram = Base × Altitude = CD × AE = AD × CF
16 × 8 = AD × 10
AD = 128/10 cm
AD = 12.8 cm