In a heptagon, all sides are the same and its perimeter is 112 cm.

In a heptagon, all sides are the same and its perimeter is 112 cm. Find the perimeter of ten gons with the same side lengths as in the heptagon.

First, let’s find what the length of the side of this heptagon is equal to.

Let us denote this unknown length by s.

In the initial data for this task, it is reported that if we add up the lengths of all seven sides of a given geometric figure, the result will be 112 centimeters, therefore, we can draw up the following equation:

c + c + c + c + c + c + c = 112,

solving which, we get:

7c = 112;

7s / 7 = 112/7;

c = 16 cm.

Find the perimeter of a regular 10-gon with a side equal to 16 cm:

10 * 16 = 160 cm.

Answer: 160 cm.