We have a wall of 6 feet by 8 feet and we want to know how many 4-inch square tiles we need to cover the wall.
Note that 1 feet = 12 inch, so the tiles are:
[tex]4inch\frac{1\text{ f}eet}{12\text{ inch}}=\frac{1}{3}feet[/tex]So, the tiles are 1/3 feet square.
Now we have to find how many tiles we need to cover 8 feet:
[tex]\text{number of tiles = }\frac{8feet}{\frac{1}{3}feet}=3\cdot8=24[/tex]So, we need 24 tiles to cover the 8 feet.
And for the 6 feet we need:
[tex]\text{number of tiles = }\frac{6feet}{\frac{1}{3}feet}=6\cdot3=18[/tex]So, we need 18 tiles to cover the 6 feet.
Finally, to cover all the wall of 8 feet by 6 feet we need 24 by 18 tiles=432 tiles