# Optimization problem dealing with a fence and area.

Not what you're looking for?

A farmer has 600 feet of fencing with which to enclose a rectangular plot. What is the maximum area he can enclose?

Hint: Find a model for the area of the rectangular plot and maximize by completing the square

##### Purchase this Solution

##### Solution Summary

The maximum area of a fenced enclosure is found by completing the square.

##### Solution Preview

First let's find the function we want to maximize.

Le x and y be sides of a rectangular plot. We know that its perimeter has to be 600 feet.

So 2x+2y=600

=> x+y=600

=> ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Probability Quiz

Some questions on probability