# A parallelogram has sides with lengths of #5 # and #9 #. If the parallelogram's area is #32 #, what is the length of its longest diagonal?

Longest diagonal measures 13.0107

Given

Area of the parallelogram = l * h = 32

AE = DF = a = sqrt(w^2-h^2) = sqrt(5^2 - 3.5556^2) = 3.5154#

AF = l + a = 9 + 3.5154 = 12.5154#

Longest diagonal AC

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The length of the parallelogram's longest diagonal is ( \sqrt{101} ) 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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