# A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 4 #. If the angle between sides A and C is #(5 pi)/8 #, what is the area of the parallelogram?

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Known: Area is

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The area of a parallelogram can be calculated using the formula: Area = base × height. Given the lengths of the sides and the angle between them, we can find the height of the parallelogram using trigonometry.

First, we need to find the height. Let's denote the height as h. Then, we have: h = 2 sin((5π)/8)

Using the given values and calculating, we find: h = 2 sin((5π)/8) ≈ 2 × 0.9239 ≈ 1.8479

Now, we can calculate the area: Area = base × height Area = 4 × 1.8479 Area ≈ 7.3916 square units.

Therefore, the area of the parallelogram is approximately 7.3916 square units.

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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.

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.

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.

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