Question

1. what is the total perimeter of this figure?

show or explain your thinking.

Explanation:

Step1: Determine the radius of the semicircles

The side - length of each square is \(4\) cm. The radius \(r\) of each semicircle is \(4\) cm.

Step2: Calculate the length of the curved parts

The figure has \(2\) semicircles. The combined length of the curved parts is equivalent to the circumference of one full circle. Using the formula \(C = 2\pi r\) (where \(\pi\approx3.14\) and \(r = 4\) cm), \(C=2\times3.14\times4=25.12\) cm.

Step3: Calculate the length of the straight parts

The straight parts: there are \(4\) straight segments each of length \(4\) cm. The total length of the straight parts is \(4\times4 = 16\) cm.

Step4: Calculate the total perimeter

The total perimeter \(P\) is the sum of the length of the curved parts and the straight parts. \(P=25.12 + 16=41.12\) cm.

Answer:

The total perimeter of the figure is \(41.12\) cm.