SOLUTION: find the number of 15 centimetre square tiles required to cover a rectangular floor of 5.4m long and 4.05m wide. find the cost of tiling the floor if each tile costs RM 3

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Question 1207754: find the number of 15 centimetre square tiles required to cover a rectangular floor of 5.4m long and 4.05m wide. find the cost of tiling the floor if each tile costs RM 3
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
AREA OF FLOOR
rectangular floor of 5.4m long and 4.05m wide = 21.87 M^2
15 centimetre square tiles tobe laid 0.15m
Area of tile = 0.15^2= 2.25 m^2
Number of tiles = Total area / area of each tile
= 21.87/0.0225 = 972 tiles
Total cost = 972 *3 = 2916 RM
need 972 tiles to cover the floor, total cost would be 2916 RM.





Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
find the number of 15 centimetre square tiles required to cover a rectangular floor
of 5.4m long and 4.05m wide. find the cost of tiling the floor if each tile costs RM 3
~~~~~~~~~~~~~~~~~~~


        The solution by @mananth gives a correct answer, but the logic of his solution is incorrect.
        An accurate solution requires another approach.


First, we determine how many tiles are along the longer side. It is

     = 36.


Fortunately, it is an integer number.



Next, we determine how many tiles are along the shorter side. It is

     = 27.


Fortunately, it is an integer number, too.



Next step, we determine the total number of tiles as the product 

    36*27 = 972.



Finally, we determine the cost of tiling  3*972 = 2916 RM.    ANSWER

Solved (accurately).


=======================


Without checking that the numbers of tiles along each dimension are integer numbers,
you can not state that the required number of tiles is the product of dimensions (the total area)
divided by the area of a single tile.



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