Question

the base of the right triangle drawn in the regular octagon measures 0.7 cm. what is the perimeter of the octagon? 11.2 cm 14.1 cm 15.2 cm 20.8 cm

Explanation:

Step1: Find the side length of the octagon

In a regular octagon, if we consider the right - triangle formed (assuming it is used to find the side - length relation). For a regular octagon, the side length \(s\) can be found using the property of the right - triangle. Here, if we assume the side length of the octagon is \(s\), and from the right - triangle (assuming it is a part of the formula to calculate the side - length of the octagon from the given base of the right - triangle). In a regular octagon, the side length \(s = 1.4\) (since if we assume a certain geometric relation, for example, if the base of the right - triangle is \(0.7\) and using the fact that the side of the octagon is twice the base of the right - triangle formed in some standard geometric decomposition of a regular octagon).

Step2: Calculate the perimeter of the octagon

The formula for the perimeter \(P\) of a regular octagon is \(P=8s\). Substitute \(s = 1.4\) into the formula. Then \(P = 8\times1.4\).

$$P=11.2$$

Answer:

\(11.2\space cm\) (the first option)