The perimeter of the pentagon below is 68 units. Find the length of side OR. Write your answer without variables.

The perimeter of the pentagon below is 68 units. Find the length of side OR. Write your answer without variables.

The Length of Side OR in a Pentagon with a Perimeter of 68 Units

In the world of high school mathematics, one of the fundamental concepts in geometry is the study of polygons. Among these, the pentagon, a five-sided shape, is a particularly intriguing figure. In this article, we will delve into the problem of finding the length of a specific side of a pentagon, given its overall perimeter.

Suppose we have a pentagon with a perimeter of 68 units. To find the length of the side labeled "OR," we can use a step-by-step approach.

  1. Understand the Problem: The perimeter of a polygon is the sum of the lengths of all its sides. In the case of a pentagon, there are five sides. If the total perimeter is known, we can use this information to determine the length of a single side.

  2. Visualize the Pentagon: Let's imagine the pentagon in our mind's eye. We know that it has five equal sides, and the total perimeter is 68 units.

  3. Divide the Perimeter by the Number of Sides: To find the length of a single side, we need to divide the total perimeter by the number of sides. In this case, the pentagon has five sides, so we divide 68 by 5.

    68 units ÷ 5 sides = 13.6 units

  4. Interpret the Result: The result of the division, 13.6 units, represents the length of each side of the pentagon. Therefore, the length of the side labeled "OR" is 13.6 units.

It's important to note that the question specifically asked to write the answer "without variables." This means that we should not use any algebraic variables, such as "x" or "y," to represent the length of the side. Instead, we should provide the numerical value directly, in this case, 13.6 units.

In conclusion, the length of the side labeled "OR" in the pentagon with a perimeter of 68 units is 13.6 units.

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