# Two opposite sides of a parallelogram each have a length of #4 #. If one corner of the parallelogram has an angle of #(5 pi)/6 # and the parallelogram's area is #56 #, how long are the other two sides?

The other length is 28

Notice that the wording of the question is such that we can chose which of the opposite sides we may assign the length of 4.

Given than

Let

Then

Thus

Assign the length of 4 to AB

Let the length

Given that the area =56

Known: area

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Thus we have:

Known:

But

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The length of the other two sides of the parallelogram is 14.

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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.

- A parallelogram has sides with lengths of #14 # and #15 #. If the parallelogram's area is #63 #, what is the length of its longest diagonal?
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- A trapezoid has a height of 6 cm and bases of 8 and 10 cm. What is the area of the trapezoid?
- Two opposite sides of a parallelogram each have a length of #3 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is #24 #, how long are the other two sides?
- Two opposite sides of a parallelogram each have a length of #18 #. If one corner of the parallelogram has an angle of #(5 pi)/12 # and the parallelogram's area is #132 #, how long are the other two sides?

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