Question

what is the perimeter of the figure? use 3.14 for pi.

Explanation:

Step1: Calculate the length of the semi - circle arc

The diameter of the semi - circle is \(4 + 3+3=10\)m. The formula for the circumference of a full circle is \(C = \pi d\), so the length of the semi - circle arc \(l=\frac{1}{2}\times\pi\times d\). Substituting \(d = 10\)m and \(\pi=3.14\), we get \(l=\frac{1}{2}\times3.14\times10 = 15.7\)m.

Step2: Calculate the sum of the straight - line segments

The vertical straight - line segment is 16m, and there are two horizontal segments of length 3m each and one of length 4m. The sum of the lengths of the straight - line segments is \(16+3 + 3+4=26\)m.

Step3: Calculate the perimeter of the figure

The perimeter \(P\) of the figure is the sum of the length of the semi - circle arc and the sum of the lengths of the straight - line segments. So \(P=15.7 + 26=41.7\)m.

Answer:

41.7m