Explore BrainMass

Explore BrainMass

    Maximization of the area of a window

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A special window has the shape of a rectangle surrmounted by an equilateral triangle. If the perimeter is 16 feet, what dimensions will admit the most light? (hint: Area of equilateral triangle = the square root of 3/4 times x squared.)

    © BrainMass Inc. brainmass.com March 4, 2021, 5:40 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/maximization-of-the-area-of-a-window-5243

    Solution Preview

    This is an area maximization problem,
    <br>Equilateral triangle has all of its sides equal ( let it be X)
    <br>The area of the window can be written as, (L=length, b=breadth)
    <br>But when you surmount a ...

    Solution Summary

    The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.

    $2.49

    ADVERTISEMENT