Question

Each side of a regular polygon is 1.5 cm in length . the perimeter of the polygon is 22.5 cm . how many sides does the polygon have ?

Answer 1

Step-by-step explanation:

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Answer 2

Given:

Polygon's side=1.5 cm

Polygon's perimeter=22.5cm

To find:

The number of sides of the polygon

Solution:

The required number of the polygon's sides is 15.

Let the polygon has N sides.

Now, the polygon's perimeter can be obtained by adding the N sides.

We have the measure of the polygon's side equal to 1.5 cm.

Since the polygon's regular, the value of its perimeter=number of sides×length of the side

Using the values, we get

22.5=1.5×N

22.5=1.5N

22.5/1.5=N

225/15=N

15=N

This is a 15-sided polygon.

Therefore, the required number of the polygon's sides is 15.