# Express the area of rectangle as Quadratic Function

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

||||||||||||||||||||||||||||||||||||

x

https://brainmass.com/math/graphs-and-functions/express-area-rectangle-quadratic-function-346447

#### 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 ...

#### Solution Summary

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

$2.49