Answer:
[tex]S=115.6 [m^{2}][/tex]
Explanation:
If the family needs 26 kW of power, and knowing that the efficient is 30% the relation between the solar flux and the power would be:
[tex]\Phi_{solar} [kW/m^{2}]\cdot S [m^{2}] \cdot e=26 [kW][/tex] (1)
e is the efficient (in our case 0.3)
Φsolar is the solar flux
S is the effective surface
Solving (1) for S we have:
[tex]S=\frac{26 [kW]}{0.75 [kW/m^{2}]\cdot 0.3}=115.6 [m^{2}][/tex]
I hope it helps!