Question

find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place.
8
6
answer attempt 2 out of 2
62.1 submit answer

Explanation:

Step1: Calculate the length of the two sides of the rectangle

The two sides of the rectangle are \(8\) and \(6\). The sum of the two sides of length \(8\) and one side of length \(6\) is \(8 + 8+6=22\).

Step2: Calculate the length of the semicircle

The diameter of the semicircle is \(6\). The formula for the circumference of a full - circle is \(C=\pi d\). For a semicircle, the length is \(l=\frac{1}{2}\pi d\). Substituting \(d = 6\), we get \(l=\frac{1}{2}\times\pi\times6 = 3\pi\approx3\times3.14 = 9.42\).

Step3: Calculate the perimeter of the figure

The perimeter \(P\) of the figure is the sum of the lengths of the two sides of the rectangle (length \(8\)), one side of the rectangle (length \(6\)) and the length of the semicircle. So \(P=22 + 9.42=31.42\approx31.4\).

Answer:

\(31.4\)