Let's solve the formula [tex]\( P = \frac{F}{A} \)[/tex] for [tex]\( F \)[/tex].
The first step is to understand that we need to isolate [tex]\( F \)[/tex] on one side of the equation. The equation currently describes [tex]\( F \)[/tex] divided by [tex]\( A \)[/tex].
To isolate [tex]\( F \)[/tex], multiply both sides of the equation by [tex]\( A \)[/tex]. This will eliminate [tex]\( A \)[/tex] from the denominator on the right side:
[tex]\[ P \cdot A = \frac{F}{A} \cdot A \][/tex]
Since multiplying by [tex]\( A \)[/tex] and then dividing by [tex]\( A \)[/tex] cancels out [tex]\( A \)[/tex] on the right side, we are left with:
[tex]\[ P \cdot A = F \][/tex]
So, the formula solved for [tex]\( F \)[/tex] is:
[tex]\[ F = P \cdot A \][/tex]
Therefore, the correct choice from the given options is:
[tex]\[ F = P A \][/tex]
