Question

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

Answer 1

Answer:

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Given,

• AB = CD = 16 cm (Opposite sides of a ||gm are equal)
• CF = 10 cm and AE = 8 cm

Now,

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Area of parallelogram = Base × Altitude

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= CD × AE = AD × CF

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⇒ 16 × 8 = AD × 10

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⇒ AD = 128/10

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⇒ AD = 12.8 cm

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Hope it will be helpful :)

Answer 2

Answer:

‍✈️‍✈️HEYA DUDE️‍♀️️‍♀️

In parallelogram ABCD, AD = 12.8 cm.

Solution:

Given:  AE = 8cm

AB = 16 cm

CF = 10 cm

In a parallelogram ABCD, “CD = AB = 16 cm” (∵Opposite sides of parallelogram are equal)

The value of AD can be found by multiplying base by height.

Both base and height of parallelogram is perpendicular each other.

Area of parallelogram = b× h

Area of ABCD = AE× CD = AD× CF

=> 16×8 = AD × 10

= >128 = AD × 10

=> AD = 12.8 cm.

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