Answer:
Only the floor area [tex]\frac{3}{8}[/tex] has been covered
Step-by-step explanation:
Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.
[tex]A = lw[/tex]
Let's now call A 'the area that was covered with tiles.
We know that half the length was covered, then:
[tex]l' = \frac{1}{2}l[/tex]
[tex]w' = \frac{3}{4}w[/tex]
So:
[tex]A' = \frac{1}{2}l(\frac{3}{4}w)[/tex]
[tex]A' = \frac{3}{8}lw[/tex]
Finally:
[tex]A' = \frac{3}{8}A[/tex]
