if ABCD is a parallelogram,AB=9cm,BC=5CM and DE is perpendicular to AB.If the area of the parallelogram is 36 sq. cm,find AE.

ABCD is a parallelogram with AB = 9 cm and BC = 5 cm. DE is perpendicular to AB and area of ABCD = 36 sq. cm

area of parallelogram = base × height

36 = AB × DE

In right triangle ADE,

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Area of Parallelogram = 36 sq. cm = Base * Height

= AB * AE

= 9*AE

=> 36 = 9*AE

=> AE = 36/9 = 4 cm

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