Answer
$(36-x^{2})\ \ \mathrm{s}\mathrm{q}.\mathrm{i}\mathrm{n}$.
Work Step by Step
Find the total area of the rug.
$6^{2}=36sq.in$
Find the area of the blue square.
$x\cdot x=x^{2}sq.in$
Find the area of the figure
Area of green band=(Area of rug) - (Area of blue square)
$A=36-x^{2}$
The area of the green band is $(36-x^{2})\ \ \mathrm{s}\mathrm{q}.\mathrm{i}\mathrm{n}$.