Question

1. calculate the perimeter of the following composite shape. round your answer to one decimal place. 30 14 cm 20 cm

Explanation:

Step1: Calculate the circumference of the semicircle

The formula for the circumference of a full - circle is \(C = \pi d\). For a semicircle, \(C_{semicircle}=\frac{1}{2}\pi d\). Given \(d = 14\mathrm{cm}\), then \(C_{semicircle}=\frac{1}{2}\times\pi\times14 = 7\pi\mathrm{cm}\approx7\times3.14 = 21.98\mathrm{cm}\)

Step2: Calculate the sum of the straight - line segments

We have two sides of length \(20\mathrm{cm}\) and one side of length \(14\mathrm{cm}\). The sum of these straight - line segments is \(20 + 20+14=54\mathrm{cm}\)

Step3: Calculate the perimeter of the composite shape

The perimeter \(P\) of the composite shape is the sum of the length of the semicircle and the sum of the straight - line segments. So \(P=21.98 + 54=75.98\mathrm{cm}\approx76.0\mathrm{cm}\)

Answer:

\(76.0\mathrm{cm}\)