Question

show what you know
determine the perimeter of this shape.
5 cm

Explanation:

Step1: Find the diameter of the semicircles

From the grid, the diameter of each semicircle is \(5\) cm.

Step2: Calculate the circumference of the two semicircles (equivalent to one full circle)

The formula for the circumference of a circle is \(C = \pi d\). Using \(\pi\approx3.14\) and \(d = 5\) cm, we have \(C=3.14\times5 = 15.7\) cm.

Step3: Find the length of the straight sides

Each straight side is \(5\times2 = 10\) cm, and there are two straight sides. So the total length of the straight sides is \(10\times2=20\) cm.

Step4: Calculate the perimeter

The perimeter \(P\) is the sum of the circumference of the circle - like part and the lengths of the straight sides. So \(P=15.7 + 20=35.7\) cm.

Answer:

\(35.7\) cm