Question 321437: Mathilda has used square tiles to completely cover a rectangular surface of 81 cm by 72 cm. What is the length of the side of the smallest tile she has used?
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! 72*81=5,832 CM^2 IS THE TOTAL AREA.
3*3*3*3=81
3*3*2*2*2=72
THUS 3*3=9 CM^2 IS THE LARGEST SQUARE TILE THAT WILL COVER THE FLOOR.
5,832/9=648 TILES.
1.5*1.5=2.25 CM^2 TILES WILL ALSO COVER THE FLOOR.
5,832/2.25=2,592 TILES.
1*1=1 CM^2 TILES WILL ALSO COVER THE FLOOR
5,832/1=5,832 TILES.
AND THERE ARE MANY SMALLER TILES THAT WILL ALSO COVER THE FLOOR.
.75*.75 CM^2, .5*.5 CM^2, .25*.25 CM^2, .1*.1 CM^2, .01*.01 CM^2 ETC.
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