Wednesday

September 3, 2014

September 3, 2014

Posted by **Ivyl** on Tuesday, August 2, 2011 at 6:46am.

- Geometry -
**Reiny**, Tuesday, August 2, 2011 at 8:20amLet'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!

**Answer this Question**

**Related Questions**

Math - Jaden wants to cover the floor with square tiles the same size. The floo...

maths - Hexagonal tiles of sides20cm are used to tile a room which measures 6....

geometry - how many 8' tiles are needed to tile a 8' by 18' floor? how much ...

geometry - how many 8' tiles are needed to tile a 8' by 18' floor? how much ...

math - TILING A decroative floor pattern has one red square tile surrounded by ...

!!MATH!! - A decroative floor pattern has one red square tile surrounded by 12 ...

Algebra - Jim is installing ceramic tile behind his kitchen sink. Each tile is a...

stats - The dimensions of a rectangular room are 12 feet 10 inches by 10 feet 1 ...

5th grade math - Mr.Jones wants to put tiles on the floor by the front door of ...

Geometry - A certain type of tile costs $50 per square meter. If the actual ...