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

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A 10.8 cm
B 12.8 cm
C 15.6 cm
D 12.4 cm

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Answer: B. 12.8 cm

Area of the parallelogram = base x height.
Using CD as base: CD x AE = 16 x 8 = 128 sq cm (CD = AB = 16 cm).
Using AD as base: AD x CF = 128, so AD = 128 / 10 = 12.8 cm.

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

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