Based on the calculations, the perimeter of this regular polygon is equal to 7.5 units.
What is a polygon?
A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:
- Triangle
- Quadrilateral
- Pentagon
- Hexagon
- Heptagon
- Octagon
- Nonagon
How to determine the perimeter of this regular polygon?
Since this polygon is a regular polygon with each of its sides being equal, we have:
3(x - 1) = 5x - 6
3x - 3 = 5x - 6
5x - 3x = 6 - 3
2x = 3
x = 3/2
x = 1.5.
The measure of each of its sides is given by:
3x - 3 = 5x - 6
3(1.5) - 3 = 5(1.5) - 6
4.5 - 3 = 7.5 - 6
1.5 = 1.5
Each side, a = 1.5 units.
Now, we can determine the perimeter of this regular polygon:
Perimeter of pentagon = 5a
Perimeter of pentagon = 5 × 1.5
Perimeter of pentagon = 7.5 units.
Read more on polygon here: https://brainly.com/question/19034638
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