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    Sarah_Marie's Avatar
    Sarah_Marie Posts: 24, Reputation: 1
    New Member
     
    #1

    Oct 20, 2010, 08:08 AM
    Need help solving quadratic equations
    how would I find the solution to the following question:

    A building measuring 90 m by 60 m is to be built. A paved area of uniform width will surround the building. The paved area is to have an area of 9000 m/s^2. How wide is the paved area?
    kpg0001's Avatar
    kpg0001 Posts: 88, Reputation: 12
    Junior Member
     
    #2

    Oct 20, 2010, 09:10 AM

    Ok, imagine a rectangle inside of a rectangle. If we know the length of the sides of the small one, it is not hard to calculate the length of the large one.

    Lets look at the long side of the big rectangle. For it to cover the small rectangle it would have to be larger than 90m. In fact if you draw lines from the small to the large that equal 90m you end up with

    90m+two unknown lengths

    If we do the same for the 60m side we get

    60m+two unknown lengths

    Since the paved area is uniform, the unknown lengths are equal to each other and form squares in the corner of your drawing. Lets call this length x.

    Finally for the answer, the width of the paved part can be calculated by

    base times height of large rectangle - base times height of small rectangle

    (90+2x)(60+2x)-(60)(90)=9000

    Where x is the distance from the small to the large. Solve for x and you have your answer!

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