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.

The area of the front yard is given as 4,200 ft^2. Let A represent the area of the house.

According to the problem, the area of the house plus the area of the yard is 8 times the area of the house alone. This can be expressed as:

A + 4,200 = 8A

So, the equation that models this real-world situation is:

A + 4,200 = 8A