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A parallelogram has sides A, B, C, and D. Sides A and B have a length of #1 # and sides C and D have a length of # 2 #. If the angle between sides A and C is #(5 pi)/12 #, what is the area of the parallelogram?

Answer 1

Aurora Ayala

Area of the parallelogram is 1.9319

Area of parallelogram A = b * h

Given a = 1, b = 2

# h = a sin (5pi)/12 = 1 * sin (pi/12) = sin (5pi/12)#

Area #A = b * h = 2 * sin (5pi/12) = 1.9319#

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Answer 2

Mason Adams

The area of the parallelogram is ( A = 1 \times 2 \times \sin\left(\frac{5\pi}{12}\right) ). Solving this gives ( A \approx 1.465 ) square units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.