SOLUTION: 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?

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.

RELATED QUESTIONS
A rectangular room is 360 cm long and 336 cm wide. Its floor has to be covered with... (answered by dkppathak)

The floor area of a rectangular classroom measures 60 meter squared. The floor is to be... (answered by mananth,ewatrrr)

a rectangular room has a floor area of 32 square meters.how many tiles,each measuring 50... (answered by gsmani_iyer)

When we use square tiles of unknown length to cover a floor, we require 128 tiles. If the (answered by ankor@dixie-net.com)

Émile creates a mosaic with (0.4x) cm square tiles. It should cover a disc of x cm... (answered by ikleyn)

The dimensions of a rectangular room are 12 feet 10 inches by 10 feet 1 inch. If square... (answered by josgarithmetic)

How many tiles required to cover a floor of length 6m and breadth 4cm. If the area... (answered by macston)

How many tiles are required to cover a floor of length 6 m and breadth 4 m if the area... (answered by Cromlix)