Question

Question
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)
Remaining Attempts : 3

Answer 1

To model this situation, we can let \( A \) represent the area of the house. According to the information given:

1. The area of the front yard is 4,200 ft².
2. The total area of the house plus the yard is equal to 8 times the area of the house alone.

We can express the total area as the sum of the area of the house and the area of the yard:

\[
\text{Total Area} = A + 4200
\]

According to the problem, this total area is also equal to 8 times the area of the house, which gives us the equation:

\[
A + 4200 = 8A
\]

This is the equation that models the real-world situation.