# A parallelogram has sides A, B, C, and D. Sides A and B have a length of 6  and sides C and D have a length of  4 . If the angle between sides A and C is (5 pi)/12 , what is the area of the parallelogram?

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May 19, 2018

Area of the parallelogram color(purple)( = 23.18 sq units

#### Explanation:

Area of a parallelogram is given by the formula

$A r e a = a b \sin \theta$

Given : $a = 6 , b = 4 , \theta = \frac{5 \pi}{12}$

$\therefore A r e a = 6 \cdot 4 \cdot \sin \left(\frac{5 \pi}{12}\right)$

color(purple)(Area = 23.18 sq units

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