# A rancher has 1000m of fencing to enclose two rectangular corrals. The corrals have the same dimensions and one side in common (let that side be x). What dimensions will maximize the enclosed area?

Letting the common side be x, we get the following sketch for the problem and it may hence be solved as shown in the sketch attached :

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To maximize the enclosed area, each corral should have dimensions of (250 \times 375) 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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