Questions: Solve S=2LW+2LH for L.

Solve S=2LW+2LH for L.
Transcript text: Solve $S=2 L W+2 L H$ for $L$.
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Solution

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Solution Steps

To solve the equation \( S = 2LW + 2LH \) for \( L \), we need to isolate \( L \) on one side of the equation. We can factor out \( L \) from the terms on the right-hand side and then divide both sides by the remaining expression to solve for \( L \).

Step 1: Rearranging the Equation

We start with the equation given by \( S = 2LW + 2LH \). Our goal is to solve for \( L \).

Step 2: Factoring Out \( L \)

We can factor \( L \) from the right-hand side of the equation: \[ S = 2L(W + H) \]

Step 3: Isolating \( L \)

To isolate \( L \), we divide both sides of the equation by \( 2(W + H) \): \[ L = \frac{S}{2(W + H)} \]

Final Answer

Thus, the solution for \( L \) is given by: \[ \boxed{L = \frac{S}{2(W + H)}} \]

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