Question

1. find the perimeter of the window. chapter 2 transformations

Explanation:

Step1: Identify the components of the perimeter

The perimeter of the semi - circular window consists of the curved part (semicircular arc) and the straight part (diameter).

Step2: Calculate the length of the semi - circular arc

The formula for the circumference of a full circle is $C = 2\pi r$. For a semi - circle, the length of the arc $l=\pi r$. Given the diameter $d = 3.5$ ft, the radius $r=\frac{d}{2}=\frac{3.5}{2}=1.75$ ft. So, $l=\pi\times1.75\approx3.14\times1.75 = 5.495$ ft.

Step3: Calculate the length of the diameter

The length of the diameter $d = 3.5$ ft.

Step4: Calculate the perimeter of the window

The perimeter $P$ of the window is the sum of the length of the semi - circular arc and the diameter. So, $P = 5.495+3.5=8.995\approx9.0$ ft.

Answer:

$9.0$ ft