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Two sides of a parallelogram are 12 cm ...

Two sides of a parallelogram are 12 cm and 8 cm. If one of the interior angles is `135^@`, then find area of the parallelogram.

A

`A. 45√ 2` sq. cm

B

B. `48√ 2` sq. cm

C

C. `50√ 2` sq. cm

D

D. None of These

Text Solution

Verified by Experts

The correct Answer is:
`48sqrt2` sq. cm

Area of the parallelogram`=2xx"Area of triangle ABC"`
`=2xx1/2xxABxxDE`
`=12xx8sin45^@`
`=96/sqrt2=45sqrt2" sq. cm"`
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