# Maximizing area

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Find the dimensions of the rectangle of the largest area that has its base on the x axis and its other two vertices above the x axis and lying on the parabola y=8-x^2.

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#### Solution Preview

Answering these questions usually involves the following steps:

1 Forming an equation to describe the situation. Making sure that the equation has only one variable.

2 Differentiating the equation.

3 Finding the value that makes the derivative equal to zero.

4 Substituting this value into your original equation.

Solution: ...

#### Solution Summary

This shows how to maximize area for a given situation.

$2.49