Results 1 to 2 of 2

Math Help - shaded area problem

  1. #1
    Newbie
    Joined
    Sep 2012
    From
    Mississippi
    Posts
    1

    shaded area problem

    Question: You have a square yard with a side length of x+5. There is a square brick covered patio in the yard with a side length of x. What is the area of the uncovered portion of the yard?
    The answer is 10x+25 but how exactly do I explain and show that? Please help
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,829
    Thanks
    1602

    Re: shaded area problem

    Quote Originally Posted by stevenw10 View Post
    Question: You have a square yard with a side length of x+5. There is a square brick covered patio in the yard with a side length of x. What is the area of the uncovered portion of the yard?
    The answer is 10x+25 but how exactly do I explain and show that? Please help
    The area of the yard is \displaystyle \begin{align*} (x + 5)^2 \end{align*}. Of that, \displaystyle \begin{align*} x^2 \end{align*} is covered by bricks.

    The uncovered part is therefore \displaystyle \begin{align*} (x + 5)^2 - x^2 \end{align*}. Expand and simplify.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. The problem of shaded region's area
    Posted in the New Users Forum
    Replies: 2
    Last Post: July 14th 2012, 11:20 PM
  2. area of the shaded area of the circle.
    Posted in the Geometry Forum
    Replies: 4
    Last Post: October 23rd 2010, 02:37 PM
  3. Area of shaded region problem
    Posted in the Algebra Forum
    Replies: 4
    Last Post: July 6th 2010, 09:29 PM
  4. area of shaded
    Posted in the Geometry Forum
    Replies: 4
    Last Post: October 10th 2009, 04:57 AM
  5. find area of shaded area (yellow)
    Posted in the Geometry Forum
    Replies: 8
    Last Post: September 4th 2007, 09:34 AM

Search Tags


/mathhelpforum @mathhelpforum