Purchase Solution

Find the dimensions of a page with margins so area is minimized

Not what you're looking for?

Ask Custom Question

A rectangular page is to contain 30 square inches of print. The margins are 1 inch from each side. Find the dimensions of the page such that the least amount of paper is used.

Purchase this Solution
Solution Summary

The dimensions of a page with margins are found so that area is minimized.

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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.

Solving quadratic inequalities

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

Graphs and Functions

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

View More Free Quizzes
Related BrainMass Solutions

  • Derivatives to calculate volume and area

    Find the dimensions of the paper that will minimize the amount of paper used. Area. A rectangular page is to contain 30 square inches of print. The margins at the top and bottom of the page are to be 2 inches wide.

  • Optimization of business and economics

    What should the dimensions of the page be so that the least amount of paper is used? Let Ap be the printable area. Let At be the total area of the paper. Let x be the width and y be the height of the paper.

  • Writing and Solving Quadratic Equations from Word Problems

    A yearbook page is to be designed so that there are 24 square inches available for print or pictures with margins of 1.5 inches on the top and bottom, and 1 inch on the left and right sides.

  • Optimization

    What dimensions do you tell the shop to use? Suppose the base is x feet and the height is y feet. It is an open box, so its surface has 5 sides. To total area of the surface is S=x^2+4xy.

  • Minimize the Surface Area of a Box

    30576 Minimizing the Surface Area of a Box A closed rectangular box with volume 576 in^3 is to be made so its top (and bottom) is a rectangle whose length is twice its width. Find the dimensions of the box that will minimize its surface area.

  • Find the dimensions of the rectangle of area A sq. units that has the smallest perimeter.

    This section is entitled "Some Max-Min Problems". The problem is as follows: 6. Find the dimensions of the rectangle of area A sq. units that has the smallest perimeter. Okay, I tried to work it out the same way the example did it.

  • Maximizing and Minimizing using Derivatives

    Find the dimensions for minimum surface area when the container A) is an open cup B) is a closed can Problem #2 Suppose the paper sheet is x cm length and y cm width. Since xy = 1000 cm^2, then y = 1000/x.

  • Solving and graphing Quadratic equations

    What is the maximum area that can be enclose with a 100 ft of fence? What should the dimensions of the garden be to give this area. The maximum area that can be enclose with a 100ft of fence is _____sq ft.

  • Minimizing Surface Area

    Surface area of a container is minimized using derivatives. The solution is detailed and well presented.

View More Related Solutions