In fig below, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8

cm and CF = 10 cm, find AD.

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#### Solution

Given that,

In a parallelogram ABCD,CD = AB = 16cm [Opposite sides of a parallelogram are equal]

We know that,

Area of parallelogram = base corresponding attitude

Area of parallelogram ABCD = CD × AE = AD × CF

16cm × 8cm = AD × 10cm

` A D = (16 × 8 ) / 10 cm = 12 . 8 cm`

Thus, the length of AD is 12 . 8cm

Concept: Concept of Area

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