# An isosceles trapezoid has one base of 12 inches and legs of 6 inches. What should its top base be in width if we wanted to maximize its area?

Let ABCD be an isosceles trapezoid having

one base

and legs

other top base

and base angles

Its height

Now from figure

The area of the trapezium

Differentiating w r to

Imposing the condition of maximization of the are

So

So

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To maximize the area of an isosceles trapezoid, we need to make the top base as wide as possible. Since the trapezoid is isosceles, the top base should be equal to the other base, which is 12 inches. Therefore, the top base should also be 12 inches wide.

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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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