Final answer:
To meet your household energy requirements, you will need a collector area of 26,144 square meters.
Step-by-step explanation:
To calculate the collector area needed to meet your household energy requirements, we first need to convert the average power requirement from kilowatts to watts. 3.8 kW is equal to 3,800 watts.
Next, we need to account for the efficiency of converting solar power to electric power. The given efficiency is 11%, which means only 11% of the solar power will be converted into electric power. To find the collector area, we can use the formula: Collector Area = Power Requirement / (Solar Power per Area * Solar Efficiency).
Plugging in the values, we get: Collector Area = 3,800 / (1.3 kW/m² * 0.11) = 26,144 m².