Question

a norman window consists of a semicircle on top of a rectangle as shown in the picture below. the formula $p = pi b+2l + b$ gives the perimeter, $p$, of a norman window with base length b and side length l. solve the formula for b. you can find $pi$ in the math format editor or type in pi for it. enter your answer as an equation with the isolated variable on the left hand side. question help: message instructor submit question

Explanation:

Step1: Combine like - terms for b

Given $P=\pi b + 2L + b$, we can rewrite it as $P=(\pi + 1)b+2L$.

Step2: Isolate the term with b

Subtract $2L$ from both sides of the equation: $P - 2L=(\pi + 1)b$.

Step3: Solve for b

Divide both sides by $\pi + 1$: $b=\frac{P - 2L}{\pi + 1}$.

Answer:

$b=\frac{P - 2L}{\pi + 1}$