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

Length of its longest diagonal is

Then larger diagonal of parallelogram would be given by

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The length of the longest diagonal of the parallelogram is 10.

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To find the length of the longest diagonal of the parallelogram, we can use the formula for the area of a parallelogram:

Area = base × height

Given that the area is 24 and one side (base) is 24, we can find the height using the formula:

24 = 24 × height

Solving for height:

height = 24 ÷ 24 height = 1

Now, since the height is 1, and we know the other side (9) represents the length of the diagonal, we can use the Pythagorean theorem to find the length of the longest diagonal:

Diagonal² = (Side₁)² + (Side₂)² Diagonal² = 9² + 1² Diagonal² = 81 + 1 Diagonal² = 82

Taking the square root of both sides to find the length of the diagonal:

Diagonal = √82

Therefore, the length of the longest diagonal of the parallelogram is √82 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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