Results 1 to 2 of 2

Math Help - Area of walk way and perimeter of pool

  1. #1
    Member
    Joined
    Sep 2008
    Posts
    120

    Area of walk way and perimeter of pool

    A rectangular pool is twice as long as the it is wide and has a 10 foot walkway surrounding it. If the border has an area of 2800 ft^2 find the perimeter of the pool

    so the Length of the border will be 2x+20 and the width be x+10

    I have figured out x=40 and the perimeter to equal 240ft? I set my equation to be x^2+10x=1400

    Not sure it that is correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    12
    Awards
    1
    Quote Originally Posted by IDontunderstand View Post
    A rectangular pool is twice as long as the it is wide and has a 10 foot walkway surrounding it. If the border has an area of 2800 ft^2 find the perimeter of the pool

    so the Length of the border will be 2x+20 and the width be x+10

    I have figured out x=40 and the perimeter to equal 240ft? I set my equation to be x^2+10x=1400

    Not sure it that is correct?
    Hi IDontunderstand,

    That's what I got. I used the total area of the pool with the walkway, then subtracted the area of the pool to equal the area of the walkway alone. Like this,

    (2x+20)(x+20)-x(2x)=2800

    x=40

    The pool is 40 X 80 with a perimeter of 240.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Surface area and volume of swimming pool
    Posted in the Geometry Forum
    Replies: 2
    Last Post: November 16th 2011, 06:34 PM
  2. Perimeter and Area
    Posted in the Geometry Forum
    Replies: 3
    Last Post: February 10th 2010, 03:19 PM
  3. Area and Perimeter
    Posted in the Geometry Forum
    Replies: 11
    Last Post: March 30th 2009, 07:27 AM
  4. Area from perimeter is it possible?
    Posted in the Geometry Forum
    Replies: 6
    Last Post: July 20th 2008, 05:25 AM
  5. Swimming Pool Area
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 4th 2005, 07:34 PM

Search Tags


/mathhelpforum @mathhelpforum