✰Answer:
a + 4200 = 8a.
✰Step-by-step explanation:
The equation that models this real-world situation is:
a + 4200 = 8a
Let's break down the equation step-by-step:
1. We are given that the front yard has an area of 4,200 ft^2.
2. The area of the house plus the area of the yard is 8 times the area of the house alone. This means that if we add the area of the house (a) to the area of the yard (4200), it should equal 8 times the area of the house (8a).
3. Putting all this information together, we can write the equation: a + 4200 = 8a.
This equation represents the relationship between the area of the house (a) and the total area of the house and yard combined. Solving this equation will allow us to find the value of a, which is the area of the house alone.
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