# A lifeguard marks off a rectangular swimming area at a beach480 m of rope. What is the greatest possible area she can enclose?

Either

Option 1: One side of the rectangle is formed by the beach (no rope needed)

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To maximize the area, the lifeguard should form a square with side length of 120 meters. The greatest possible area is 14,400 square meters.

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To maximize the area, the lifeguard should form a square swimming area with the given rope length.

The formula for the area of a square is side length squared.

So, if 480 meters of rope is used to form a square, each side length would be 480/4 = 120 meters.

Therefore, the greatest possible area she can enclose is 120 meters * 120 meters = 14400 square meters.

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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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