Question

In figure ⬆

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

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Answer 1

Answer:

We have,

AE ⊥ DC and AB = 16 cm

∵ AB = CD [Opposite sides of parallelogram]

∴ CD = 16 cm

Now, area of parallelogram ABCD = CD x AE

= (16 x 8) cm2 = 128 cm2 [∵ AE = 8 cm]

Since, CF ⊥ AD

∴ Area of parallelogram ABCD = AD x CF

⇒ AD x CF = 128 cm

⇒ AD x 10 cm = 128 cm2 [∵ CF= 10 cm]

⇒ AD =

= 12.8 cm

Thus, the required length of AD is 12.8 cm

hope it helps u...!!

Step-by-step explanation:

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Answer 2

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BSOWe have,

AE ⊥ DC and AB = 16 cm

• ∵ AB = CD [Opposite sides of parallelogram]

∴ CD = 16 cm

Now, area of parallelogram ABCD = CD x AE

• = (16 x 8) cm2 = 128 cm2 [∵ AE = 8 cm]

Since, CF ⊥ AD

∴ Area of parallelogram ABCD = AD x CF

• ⇒ AD x CF = 128 cm
• ⇒ AD x 10 cm = 128 cm2 [∵ CF= 10 cm]
• ⇒ AD =$\frac{128}{10}$

• = 12.8 cm

Thus, the required length of AD is 12.8 cm

hope it helps u...!!