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Express the area of rectangle as Quadratic Function

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Express the area of the rectangle (i tried to make one below) as a quadratic function of x, and also, for what value of x will the area be a maximum?

This is supposed to be a rectangle:
|||||||||||||||||||||||||||||||||||| 11-x

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Solution Summary

This solution shows how to express the given rectangle as a quadratic function of a given variable.

Solution Preview

(a) From the diagram, we see that width = x and height = 11 - x

Area of this rectangle is A = width * height

A = x * (11 - x)

A = 11x - x^2

The quadratic function for ...

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