# A parallelogram has sides with lengths of #24 # and #9 #. If the parallelogram's area is #96 #, what is the length of its longest diagonal?

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sankarankalyanam
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Dec 10, 2017

#### Answer:

Length of the longest diagonal AC is **32.3109**

#### Explanation:

Given

Area of the parallelogram = l * h = 96

AE = DF = a = sqrt(w^2-h^2) = sqrt(9^2 - 4^2) = 8.0623#

AF = l + a = 24 + 8.0623 = 32.0623#

Longest diagonal AC

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