The book General Aviation Aircraft Design: Applied Methods and Procedures
At cruise speed V = 180 kt ≈ 93 m/s. Dynamic pressure q = 0.5ρV² ≈ 0.5×1.225×93² ≈ 5,300 N/m² Lift = W = q S CL → CL_cruise = W / (q S) = 7,166 / (5,300 ×14) ≈ 0.0966
Choose S ≈ 14 m².