Hello!
First you have to find the area of the floor
To do this you multiply the sides
4 * 4 = 16
Next you find the area of the rug which is a circle
The equation for this is A = [tex] \pi r^{2} [/tex]
r is radius
Put in the values you know
[tex]A = \pi 1.5^{2} [/tex]
A = 7.07
Subtract this by the area of the floor
16 - 7.07 = 8.93
The answer is 8.93m squared
Hope this helps!