Results 1 to 3 of 3

Math Help - Express Area as a function of x

  1. #1
    Member
    Joined
    Sep 2009
    Posts
    181

    Express Area as a function of x

    Hello,

    Can someone please help me with this problem?

    Problem: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 30 ft, express the area A of the window as a function of the width x of the window.

    This is what I got.

    A=pi(x/2)^2+x(15-x)
    Attached Thumbnails Attached Thumbnails Express Area as a function of x-math.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,114
    Thanks
    992
    Quote Originally Posted by l flipboi l View Post
    Hello,

    Can someone please help me with this problem?

    Problem: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 30 ft, express the area A of the window as a function of the width x of the window.

    This is what I got.

    A=pi(x/2)^2+x(15-x)
    \pi\left(\frac{x}{2}\right)^2 is the area of a whole circle of radius \frac{x}{2}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    Where did "h" go ?

    You need to write the perimeter = 30,
    using 3 straight side lengths + semicircle length = 30.

    You express "h" in terms of x with this.

    Then you write area using skeeter's correction,
    and h is then eliminated by substituting your formula for "h".
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. express the area A as a function of the width X
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 27th 2011, 11:52 PM
  2. Express the area as a function
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: August 27th 2010, 10:07 PM
  3. [SOLVED] Express the surface area as a function
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 3rd 2009, 12:01 PM
  4. Express area as a function of x.
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: April 6th 2008, 10:43 PM
  5. express area
    Posted in the Geometry Forum
    Replies: 1
    Last Post: October 5th 2007, 05:32 AM

Search Tags


/mathhelpforum @mathhelpforum