Purchase Solution

What is the maximize the area of a rectangular patio?

Not what you're looking for?

Ask Custom Question

I have 400 feet of lumber to frame a rectangular patio. I want to maximize the area of the patio. What should the dimensions of th patio be. Show how the maximum area of patio is calculated from the algebraic equation. Use the vertex form to find the maximum area.

Purchase this Solution
Solution Summary

The solution explains how to maximize the area of a rectangular patio when the perimeter is fixed using the vertex form in detail. This solution is provided in an attached Word file.

Solution Preview

Please see the attached file for detailed solution.

Assume the sides of the patio is x ...

Purchase this Solution
Free BrainMass Quizzes
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.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

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

Exponential Expressions

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

View More Free Quizzes
Related BrainMass Solutions

  • maximize the area of a rectangular patio

    117351 Using the vertex form to help find the area of a rectangle. Amanda has 400 feet of lumber to frame a rectangular patio. She wants to maximize the area of her patio.

  • Quadratic Equations Word Problems : Maximizing Area

    117621 Quadratic Equations Word Problems : Maximizing Area Amanda has 300 feet of lumber to frame a rectangular patio. She wants to maximize the area of her patio.

  • Dimensions of a patio

    62572 Algebra word problem If John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width).

  • Maximizing the Area of a Rectangle Given Perimeter

    75292 Maximizing the Area of a Rectangle Given Perimeter John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 time width) He wants to maximize the area of his patio (area of a rectangle is length

  • What should the dimensions of the patio be?

    74886 Word Problem John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width).

  • various quadratic equation related problems in IP unit 2

    4) Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width).

  • various quadratic equation related problems in IP unit 2

    4) Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width).

  • various quadratic equation related problems

    4) John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width).

  • Quadratic Functions and Parabolas : Maximum Height and Maximum Area

    (2) Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width).

View More Related Solutions