To solve the given equation for [tex]\( A \)[/tex], we'll follow a systematic approach of isolating [tex]\( A \)[/tex] on one side.
The given equation is:
[tex]\[ b = \frac{1}{4} A f \][/tex]
Step 1: Get rid of the fraction.
To clear the fraction, we can multiply both sides of the equation by 4:
[tex]\[ 4b = A f \][/tex]
Step 2: Isolate [tex]\( A \)[/tex].
Next, we need to isolate [tex]\( A \)[/tex] on one side of the equation. We can do this by dividing both sides of the equation by [tex]\( f \)[/tex]:
[tex]\[ A = \frac{4b}{f} \][/tex]
So, the solution for [tex]\( A \)[/tex] is:
[tex]\[ A = \frac{4b}{f} \][/tex]
Therefore, the answer is:
[tex]\[
A = \frac{4b}{f}
\][/tex]
