Wednesday, January 27, 2010

Question 1: Installing tiles

Susie wants to tile the floor of her family’s rectangular play room. The tiles she plans to use are 10 cm by 10 cm squares. A drawing of the room is shown below. How many of the square tiles will Susie need to cover the floor of the play room?

Show your work.



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14 comments:

  1. twins fanJanuary 28, 2010 at 2:48 PM

    the awnser is fifty tiles. i got this by figuring out the area of each tile. I had to do length by width. 10x10=100. 100 cm = 1m. the floors arrea is 50 m2. i got this by doing 5x10=50. 50/1=50. therefore the floor can fit fifty tiles.

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  2. Cursed WandererJanuary 28, 2010 at 3:54 PM

    She would need 50 10cm by 10cm squares because a ten by ten cm squares are 1m2 and 10 by 5 is 50m2 so you would need 50 squares.

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  3. IrisJanuary 28, 2010 at 4:42 PM

    her play room is 10m by 5m. so first we convert that into cm. 10m=1000 cm and 5m=500 cm. the area now being 500,000 cm2. the tile is 10 cm by 10 cm, which makes its area 100 cm. 500,000 / 100= 5000 tiles total. Susie will need 5000 tiles!
    ~Iris

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  4. AdelinaJanuary 28, 2010 at 4:58 PM

    she would need 5000.
    what i did was converted m into cm 1m=100 cm.
    so i multiply the rooms dimesions(5by10) which = to 500cm by 1000cm. the i took each tiel(10by10) so 10times10 and got 100. then i divide 500000 divided 100 and that gives me 5000. or just subtract 2 zeros. (the 2 zeros from the 1(0)(0) )

    Adele

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  5. GeorgeJanuary 30, 2010 at 1:01 PM

    She will need 5000 tiles. She will need 5000 tiles because she needs 50 square metres of tiling. 50 square metres is 500000 square centimetres. 500000 square centimetres divided by the area of 1 tile which is 100 square centimetres is 5000.

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  6. LeandroJanuary 30, 2010 at 1:45 PM

    First Susie needs to convert the dimensions of her play room into cm. To do that you need to multiply the length and the width by 100. This is because there are 100cm in a metre. That make the dimensions 1000cm by 500cm. Then to get the area of the floor you multiply them, 1000cm * 500cm* = 500000cm squared.

    Now she needs to find the area of a tile. 10cm * 10cm = 100cm squared so a tile takes up 100cm squared. The to find out how many tiles go into the floor space she has to divide 500000cm squared by 100cm squared. That is equal to 5000. So Susie needs 5000 tiles to cover her playroom floor.

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  7. KattyJanuary 30, 2010 at 3:44 PM

    Hey everyone,
    So first of I figured out that the area of the play room is 50 meters squared. Then because the tiles she plans to use are 10 by 10 centimeters, I decided to convert the area and side lengths into cm. 10 meters equals 1000 cm. 5 meters equals 500 cm. The ten by ten tiles are 100 cm squared. Then, I multiplied 1000 by 500 to get 500,000 cm squared. Then I divided 500,000 by 100 to get 5,000. Therefore, Susie needs 5,000 tiles for her family's play room floor.

    Another way to figure it out is there's 100 tiles in one meter squared. The area of the playroom floor is 5,000. So, to find the number of tiles you simply just have to do area (50) multiplied by 100 tiles (in one square meter) which equals 5,000.
    KATTY

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  8. JeffFebruary 1, 2010 at 2:00 PM

    susie will need 50 1m2 or 500 10cm x 10cm tiles. i know this because:

    10cm x 10cm = 1m or 100cm (the tile area) and
    10m x 5m = 50m (the room size)
    and, 100cm is equal to 1m
    (example: 500cm is equal to 5m)

    -jeff

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  9. SaraFebruary 1, 2010 at 4:34 PM

    I think that there are many different ways ti d this, but this is the way that i did. The first is to say 5mx10m=50m2. 50m2=50000cm2 because if you have a box that is 100cm (or 1 meter) by 100cm's, it is 10000. SO 50, would be 50,000. Then, you have to divide it by 100. Because the dimensons of the little square is 10x10. Which is 100. YOur answer would be 500. This way of doing it is figuring out the surface area of both and then divide it.
    So my answer, in short is 500 tiles are needed to tile her floor

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  10. Ember008February 1, 2010 at 5:26 PM

    First I found out that 5m=50tiles long. Beacause the tiles are 10cm long so 1m=10 tiles so 5m=50 tiles since the other side is 10m long its doubles the 50 tiles on the other one so its 100 tiles long so to fill the room whith tiles you would find the area of the room so that would be 100x50=5000 tiles. So 5000 tiles is how many she would need.

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  11. UnknownFebruary 1, 2010 at 6:10 PM

    She will need 5000 square tiles to tile her playroom. She will need this many because there are 100cm per metre. Therefore she will have 50 tiles on one side and 100 tiles on the other. 50x100=5000.

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  12. AnonymousFebruary 1, 2010 at 7:02 PM

    First I figured out the area of the rectangular play room in m squared (5m x 10m = 50m squared). Then I converted it to cm squared using the conversion factor that 1 m squared = 10,000 cm squared. The area of the room in cm squared = 10,000 x 50 = 500,000. Since the area of one tile is 100cm squared (10cm x 10cm). Therefore the number of tiles required is 500,000 divided by 100 = 5,000.

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  13. AnonymousFebruary 2, 2010 at 4:06 PM

    10mX5m=50m=5000
    10cmX10cm=100
    50000÷100=50

    Susie needs 50 tiles.

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  14. chrisFebruary 2, 2010 at 5:58 PM

    10m times 5m= 50 m
    100 cm in a m. so i do 50 times 100=5000cm2
    but the squares 10 by 10 so 10 times 10 = 100cm2. the squares are 100cm2.
    5000cm2 divied by 100cm2=50
    so you would need 50 squares

    ReplyDelete

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