Question

25. In the figure below, ABCD is a parallelogram, AE I DC and CF I AD. If AB = 16 cm,
AE = 8 cm and CF = 10 cm, find AD?​

Answer 1

Given:

• ABCD is a parallelogram

• FC is perpendicular kn AD

• AE is perpendicular on DC

• AE=8cm

• CF=10cm

• AB=16cm

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To find:

• Length of AD

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Solution:

When we consider base of parallelogram=AB, then height of parallelogram will be AE.

~Finding area of parallelogram

⇒ Area of ||gm=Base×Height

⇒ Area of ||gm=AB×AE

⇒ Area of ||gm=16cm×8cm

⇒ Area of ||gm=128cm²

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When we consider base of parallelogram=AD, then its height will be CF.

~Finding area of parallelogram

⇒ Area of ||gm=Base×Height

We above obtained area of ||gm=128cm², it will remain same.

⇒ 168cm²=AD×CF

⇒ 168cm²=AD×10cm

⇒ 168cm²/10cm=AD

⇒ 16.8cm=AD

So the required length of AD is 16.8cm.

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