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Math Help - tile problem

  1. #1
    Junior Member
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    tile problem

    The question is:

    Find the number of square tiles required to fill a given rectangle. If you use only part of a tile, then the rest is placed in the trash and can't be used.

    Here is how I modeled it:

    n = \lceil{\frac{x}{t}}\rceil \times \lceil{\frac{y}{t}}\rceil

    Where n is the number of tiles required, x is the width of the rectangle, y is the length of the rectangle, and t is the size of the square tile.

    Given some actual data:

    The rectangle measures 25ft x 20ft.
    The tile measures 2ft x 2ft.

    \lceil{\frac{25}{2}}\rceil \times \lceil{\frac{20}{2}}\rceil = 130 tiles.

    I'm running on like 2 hours of sleep, so I guess I'm just looking for verification that I'm doing this right. Thanks!
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  2. #2
    Member rtblue's Avatar
    Joined
    Mar 2009
    From
    Birmingham, Alabama.
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    221
    Basically, you just divide the total area of the rectangle, by the area of the squares tiles, and that is how many you will need.

    So, 500 divided by 4= 125

    You did the problem right, its just that 25/2 times 20/2 is equal to 125, not 130.

    you must have done your math wrong.
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  3. #3
    Junior Member
    Joined
    May 2009
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    I don't think I did the math wrong, but please correct me if I'm wrong:

    \lceil{\frac{25}{2}}\rceil \times \lceil{\frac{20}{2}}\rceil

    \lceil{12.5}\rceil \times \lceil{10}\rceil

    13 \times 10

    130

    But, I think your equation differs from mine in that mine ceils the numbers before multiplying them. I'm doing that to obey the constraint "If you use only part of a tile, then the rest is placed in the trash and can't be used."
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