What is the area of the shaded sector?

Set up a proportional equation.  We know that the total area of a circle is:

A=πr^2, knowing that we are only using 120° out of the whole 360° we can say that the area of the sector is:

A=πr^2(120/360)

A=(πr^2)/3, and since we are told that WX which is r, is 15 ft we can say:

A=(π15^2)/3

A=225π/3

A=75π ft^2