Posted by Ivyl on Tuesday, August 2, 2011 at 6:46am.
Let's assume the tiles are square, and each tile is x by x cm
so area of floor = 100x^2
then size of each smaller tile = x-4 by x-4
area with smaller tiles = 225(x-4)^2
225(x-4)^2 = 100x^2
take √
15(x-4) = 10x
15x - 60 = 10x
x = 12
So the larger tile is 12 cm by 12 cm
(smaller is 8 by 8)
Check:
using larger: area = 100(12by12) = 14400 cm^2
using smaller : area = 225(8by8) = 225(64) = 14400cm^2
Answer is correct!
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