Question

1. find the perimeter of this figure. corners that look square are square. dimensions are in centimeters.

(29) \\((-2)(3 - 5)\\)
image of a figure: a rectangle with length 20 cm and two semicircles on the left and right ends, each with a diameter of 8 cm (indicated by the arrows labeled 8)

Explanation:

Step1: Calculate the circumference of the circle

The two semi - circles at the ends form a complete circle. The radius \(r = 8\) cm. The formula for the circumference of a circle is \(C=2\pi r\).
Substituting \(r = 8\) into the formula, we get \(C = 2\pi\times8=16\pi\) cm.

Step2: Calculate the length of the straight parts

The length of the straight part of the figure is given as \(20\) cm, and there are two such straight parts. So the total length of the straight parts is \(2\times20 = 40\) cm.

Step3: Calculate the perimeter

The perimeter \(P\) of the figure is the sum of the circumference of the circle and the lengths of the two straight parts.
\(P=16\pi + 40\). Taking \(\pi\approx3.14\), we have \(P=16\times3.14+40\).
First, calculate \(16\times3.14 = 50.24\). Then \(P=50.24 + 40=90.24\) cm.

Answer:

The perimeter of the figure is \(90.24\) cm.