Question

find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place. 14 4 answer attempt 1 out of 2 submit answer

Explanation:

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

The two straight sides of the rectangle are \(14\) and \(4\). The sum of the two \(14 -\) length sides and one \(4 -\) length side is \(14 + 14+4=32\)

Step2: Calculate the length of the semicircular arc

The formula for the circumference of a full - circle is \(C = 2\pi r\), for a semicircle \(C=\pi r\). Given the diameter of the semicircle \(d = 4\), then the radius \(r=\frac{d}{2}=2\). The length of the semicircular arc is \(C=\pi r=\pi\times2\approx 3.14\times2 = 6.28\)

Step3: Calculate the perimeter of the figure

The perimeter \(P\) of the figure is the sum of the lengths from Step 1 and Step 2. \(P=32 + 6.28=38.28\approx38.3\)

Answer:

\(38.3\)