1. Solve the formula $$ P=\pi d+2 L+W+2 \pi d $$ for $$ d $$

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UpStudy AI · Accepted Answer

1. Write the original equation:
   $$
   P = \pi d + 2L + W + 2\pi d
   $$

2. Combine like terms involving $$ d $$:
   $$
   \pi d + 2\pi d = 3\pi d
   $$
   Thus, the equation becomes:
   $$
   P = 3\pi d + 2L + W
   $$

3. Isolate the term containing $$ d $$ by subtracting $$ 2L + W $$ from both sides:
   $$
   P - 2L - W = 3\pi d
   $$

4. Solve for $$ d $$ by dividing both sides of the equation by $$ 3\pi $$:
   $$
   d = \frac{P - 2L - W}{3\pi}
   $$
$$ d = \frac{P - 2L - W}{3\pi} $$

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