Question

find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place. 5 4 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Calculate the length of the semicircle arc

The formula for the circumference of a full - circle is \(C = \pi d\). For a semicircle, the length of the arc \(l=\frac{1}{2}\pi d\). Given \(d = 4\), then \(l=\frac{1}{2}\times\pi\times4=2\pi\).

Step2: Calculate the sum of the straight - line segments

The figure has two sides of length \(5\) and one side of length \(4\). The sum of the straight - line segments \(S=5 + 5+4=14\).

Step3: Calculate the perimeter of the composite figure

The perimeter \(P\) of the composite figure is the sum of the length of the semicircle arc and the sum of the straight - line segments. So \(P=14 + 2\pi\). Substitute \(\pi\approx3.14\), then \(P=14+2\times3.14=14 + 6.28 = 20.28\approx20.3\).

Answer:

\(20.3\)