Final answer:
To solve the equation s = (p/2)(a + L) for L, multiply both sides by 2/p then subtract 'a' from both sides to get L = (2s/p) - a.
Step-by-step explanation:
To solve the formula for L, you start with the provided equation s = (p/2)(a + L). To isolate L, you want to get L on one side of the equation by itself. Here are the steps:
- Multiply both sides of the equation by 2/p to cancel out the p/2 on the right side. This gives you 2s/p = a + L.
- Subtract 'a' from both sides to move it to the left side. This yields 2s/p - a = L.
Therefore, the formula solved for L is L = (2s/p) - a.