A house has a front yard with an area of 4,200 ft.2. The area of the house plus the area of the yard is 8 times the area of the house alone. What equation does this real-world situation model? Use A for the area of the house. (1 point)

Answer 1

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: \[ A + 4200 = 8A \]