To model the situation with an equation, we can define the variables and relationships from the problem description.
Let:
- \( A \) = area of the house (in square feet)
- Area of the yard = 4,200 ft²
According to the problem statement, the total area of the house plus the area of the yard is 8 times the area of the house alone. Therefore, we can express the total area as:
\[ A + 4200 \]
And according to the given relationship:
\[ A + 4200 = 8A \]
This equation models the real-world situation described in the problem.
To summarize: \[ A + 4200 = 8A \]