Answer:
see the explanation
Step-by-step explanation:
we know that
His method is incorrect. By finding 1/2 the width and 1/2 the length, if we multiply them , we would get 1/4 of the original area.
so
[tex]Area = 0.5*l*0.5*w = 0.25*l*w = l*w/4[/tex]
Let us establish
length = l
width = w
Original Area = l*w
[tex]Half\ the\ area = (a*l)*(b*w) = 0.5*(l*w)[/tex]
This means that
[tex]a*b = 0.5[/tex]
if b is equal to a, then
[tex]a=\frac{\sqrt{2}}{2}[/tex]
Then
if a factor of a, where to be introduced in the length and width of the tile, we would obtain half the area.