SOLUTION: How many tiles are needed to cover the floor of a room whose dimensions are 10 feet by 6 feet if the size of each tile is 6 inches by 6 inches? please show the solution. thanks!

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Question 736461: How many tiles are needed to cover the floor of a room whose dimensions are 10 feet by 6 feet if the size of each tile is 6 inches by 6 inches?
please show the solution. thanks!

Found 3 solutions by josmiceli, MathLover1, rothauserc:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First I can convert inches to feet
+6%2A%28+1%2F12%29+=+.5+ ft
The area of each tile is +.5%2A.5+=+.25+ ft2
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The area of the room is +10%2A6+=+60+ ft2
The number of tiles that will fit in this area is
+60+%2F+.25+=+240+

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
to cover the floor of a room whose dimensions are 10ft by 6ft if the size of each tile is 6in by 6in you first calculate the area of a room and the area of a tile
let the area of a room be A%5Br%5D and A%5Bt%5D the area of a tile
A%5Br%5D=10ft%2A6ft
A%5Br%5D=60ft%5E2
and A%5Bt%5D=6in%2A6in
A%5Bt%5D=36in%5E2
to get number of tiles you need to divide A%5Br%5D by A%5Bt%5D
since the units are different, first you will need to convert ft to in or in to ft
let's convert in to ft
1+Inch+=+0.08333333333+ft, so the size of each tile is 6%2A0.08333333333+ft by 6%2A0.08333333333+ft which is 0.49999999998+ft by 0.49999999998+ft
then
A%5Bt%5D=0.49999999998ft%2A0.49999999998ft
A%5Bt%5D=0.2499999999800000000004ft%5E2
now we can divide A%5Br%5D by A%5Bt%5D
A%5Br%5D%2FA%5Bt%5D=60ft%5E2%2F0.2499999999800000000004ft%5E2
A%5Br%5D%2FA%5Bt%5D=60fcross%28t%5E2%29%2F0.2499999999800000000004cross%28ft%5E2%29
A%5Br%5D%2FA%5Bt%5D=60%2F0.2499999999800000000004
A%5Br%5D%2FA%5Bt%5D=240...you will need 240 tiles

or covert ft to in: 1ft=12in
10ft=120in by 6ft=72in: A%5Br%5D=120%2A72in%5E2=+8640in%5E2
A%5Br%5D%2FA%5Bt%5D=60ft%5E2%2F36in%5E2=8640in%5E2%2F36in%5E2=240

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We know the room is 10 feet by 6 feet or 60 square feet area
Each tile is 6 inches by 6 inches or 1/2 foot by 1/2 foot or 1/4 square foot area
now x = 60 / (1/4) = 240 tiles to cover the floor of the room