In the figure, ABCD is a parallelogram. $A E ⊥ D C, C F ⊥ A D$ . If $A B = 16$ cm, $A E = 8$ cm
and $C F = 10$ cm then AD is equal to

12 c m

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15 c m

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12.8 c m

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15.5 c m

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Solution

The correct option is C $12.8 c m$
Area of $∥ g m$ $A B C D = A B \times A E = 16 \times 8 = 128 {c m}^{2}$
Again, area of $∥ g m$ $A B C D = A D \times C F = A D \times 10$
or, $A D \times 10 = 128$
$A D = 12.8 c m$

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Similar questions

A B C D

A E ⊥ D C

C F ⊥ A D

A B = 16 c m, A E = 8 c m

C F = 10 c m

A D

In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

A E ⊥ D C

C F ⊥ A D

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