The diameter of the circle equals the side length of the square. So the area of the square is $\displaystyle{A}={{s}}^{{2}}={{14}}^{{2}}={196}\usepackage{cmbright}\Huge\$ square feet.

Use the radius of the circle, $\displaystyle\frac{{14}}{{2}}={7}\usepackage{cmbright}\Huge\$ , to find the area of the circle:

$\displaystyle{A}=\pi{{r}}^{{2}}=\pi{{\left({7}\right)}}^{{2}}=\pi\cdot{49}\approx{3.14}\cdot{49}={153.86}\usepackage{cmbright}\Huge\$

The area of the shaded region equals the area of the square minus the area of the circle. This is approximately $\displaystyle{196}-{153.86}={42.14}\usepackage{cmbright}\Huge\$ square feet.

Rounded to the nearest square foot, the area of the shaded regions is 42 square feet.