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.

Answer 1

Let \( A \) represent the area of the house in square feet.

According to the information given, the area of the yard is 4,200 ft². The total area of the house plus the yard can be represented as:

\[ A + 4200 \]

The problem states that the total area of the house plus the area of the yard equals 8 times the area of the house alone. This can be expressed mathematically as:

\[ A + 4200 = 8A \]

To summarize, the equation that models the situation is:

\[ A + 4200 = 8A \]