1 answer
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Let's denote the area of the house as \( A \) (in square feet).
According to the problem:
1. The area of the front yard is given as \( 4,200 \, \text{ft}^2 \).
2. The total area of the house plus the yard is given to be 8 times the area of the house.
The total area of the house plus the yard can be expressed as:
\[
A + 4,200
\]
According to the information given, this total area is equal to 8 times the area of the house:
\[
A + 4,200 = 8A
\]
To express this in a standard form, we can rearrange the equation by isolating \( A \):
\[
4,200 = 8A - A
\]
\[
4,200 = 7A
\]
So, the equation modeling this situation is:
\[
A + 4,200 = 8A
\]
or equivalently,
\[
4,200 = 7A
\]
Both of these equations accurately represent the given real-world scenario.