To solve the formula [tex]\( P = \frac{F}{A} \)[/tex] for [tex]\( F \)[/tex]:
1. Start with the given formula:
[tex]\[
P = \frac{F}{A}
\][/tex]
2. To isolate [tex]\( F \)[/tex], we need to eliminate the fraction. We can do this by multiplying both sides of the equation by [tex]\( A \)[/tex]:
[tex]\[
P \cdot A = \frac{F}{A} \cdot A
\][/tex]
3. Simplifying the right side of the equation, since [tex]\( \frac{F \cdot A}{A} = F \)[/tex]:
[tex]\[
P \cdot A = F
\][/tex]
4. Rearrange the equation to solve for [tex]\( F \)[/tex]:
[tex]\[
F = P \cdot A
\][/tex]
Thus, the correct solution for [tex]\( F \)[/tex] in terms of [tex]\( P \)[/tex] and [tex]\( A \)[/tex] is:
[tex]\[
F = P \cdot A
\][/tex]
The correct answer among the given options is:
[tex]\[
F = P A
\][/tex]
