Question

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

Explanation:

Step1: Calculate the circumference of the semi - circles

The two semi - circles at the ends form a complete circle. The diameter of the circle \(d = 4\) cm (since each square is \(1\) cm and the diameter spans \(4\) squares). The formula for the circumference of a circle is \(C=\pi d\). Using \(\pi = 3.14\), we have \(C = 3.14\times4=12.56\) cm.

Step2: Calculate the length of the straight sides

The length of each straight side is \(8\) cm, and there are two straight sides. So the total length of the straight sides is \(8\times2 = 16\) cm.

Step3: Calculate the perimeter

The perimeter \(P\) of the shape is the sum of the circumference of the circle and the lengths of the straight sides. So \(P=12.56 + 16=28.56\) cm.

Answer:

The perimeter of the shape is \(28.56\) cm.