ANSWER :
A. 50 ft^2
EXPLANATION :
Recall the area formula of a circle :
[tex]A=\pi r^2[/tex]where r = radius
From the problem, the diameter of the rug is 8 feet.
Note that the radius is half of the diameter, so the radius is r = 8/2 = 4
Using the formula above :
[tex]\begin{gathered} A=\pi(4)^2 \\ A=50.3\sim50\text{ }ft^2 \end{gathered}[/tex]