Answer
The length of the stripping required for framing the window is\[19.7\text{ ft}.\].
Work Step by Step
To calculate the length of stripping, we need to find the perimeter of the window according to the given dimensions. The perimeter would be the sum of twice the length (l) the breadth (b) and the circumference (c) of the semicircle. The diameter of the semicircle is the breadth of the window having the measurement of 3ft.So, the radius will be \[\frac{3}{2}\]ft.
In computing the perimeter breadth will be taken only once as it will be reconsidered while computing the perimeter of semi-circle.
Compute the perimeter of the window as follows:
\[\begin{align}
& A=2l+b+\pi r \\
& \text{= }2\left( 6\text{ ft} \right)+3\text{ ft}+\pi \frac{3}{2}\text{ ft} \\
& \text{= }15\text{ ft}+\frac{3\pi }{2}\text{ ft} \\
& \text{=19}\text{.7 ft}\text{.}
\end{align}\]
Hence, the length of the stripping required for framing the window is\[19.7\text{ ft}\].
