Step 1
Find the area of one tile
we know that
the area of a square is
[tex]A=b^{2}[/tex]
where b is the length side of the square
In this problem
[tex]b=10\ cm[/tex]
Substitute
[tex]A=10^{2}=100\ cm^{2}[/tex]
Step 2
Find the area of the floor
The area of a rectangle is equal to
[tex]A=LW[/tex]
where
L is the length of the rectangle
h is the width of the rectangle
In this problem
[tex]L=300\ cm[/tex]
[tex]W=150\ cm[/tex]
Substitute
[tex]A=300*150=45,000\ cm^{2}[/tex]
Step 3
Find the number of tiles needed
by proportion
[tex]\frac{1}{100} \frac{tile}{\ cm^{2}} =\frac{x}{45,000} \frac{tile}{\ cm^{2}} \\ \\x=45,000/100 \\ \\x=450 \ tiles[/tex]
therefore
the answer is
[tex]450 \ tiles[/tex]
