Because the problem asks for the area of the rectangle in square feet, we have to convert the units from yd to ft.
We already know that 1yd=3ft, so we have:
10.6yd=31.8ft, 5.8yd=17.4ft
Area (S)= Length (L)* Width (W)
⇒ S= (31.8ft)*(17.4ft)
⇒ S= 553.32ft^(2)
Therefore, c. 553.32 ft^(2) is the correct answer.
Hope this would help~