Question

find the perimeter of the figure below, composed of an isoceles trapezoid and one semicircle. rounded to the nearest tenths place
15
6 6
4
answer attempt 1 out of 2
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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 \(l=\frac{1}{2}\times\pi\times4=2\pi\approx2\times3.14 = 6.28\).

Step2: Sum up the non - arc sides of the trapezoid and the semicircle arc

The non - arc sides of the trapezoid and the combined figure are \(15\), \(6\), \(6\).
The perimeter \(P=15 + 6+6+6.28\).

Answer:

\(33.3\)