Question

1. find the perimeter of the shape. show or explain your thinking.

Explanation:

Step1: Calculate the length of the semicircle

The diameter of the semicircle is \(4\) units. The formula for the circumference of a circle is \(C = \pi d\). For a semicircle, \(C_{semicircle}=\frac{1}{2}\pi d\). Substituting \(d = 4\), we get \(C_{semicircle}=\frac{1}{2}\times\pi\times4=2\pi\approx 2\times 3.14 = 6.28\) units.

Step2: Sum up the lengths of the straight - line segments

The lengths of the straight - line segments are \(2\) units, \(1\) unit, \(1\) unit, and \(2\) units. Their sum is \(2 + 1+1 + 2=6\) units.

Step3: Calculate the total perimeter

The perimeter \(P\) of the shape is the sum of the length of the semicircle and the sum of the straight - line segments. So \(P=6.28 + 6=12.28\) units.

Answer:

The perimeter of the shape is approximately \(12.28\) units.