The perimeter of a regular polygon is 63 ft. An exterior angle of the polygon measures 40 degrees . Find the length of each side. Please Explain Step By Step?

Answer 1

Suppose the polygon has n sides.

The polygon is regular => each of its exterior angles is equal.The sum of all n angles = 360 deg so each angle is 360/n deg

Therefore 360/n = 40 => n = 9 sides.

Then perimeter = 9 * length of one side = 63 ft.

So each side is 63/9 = 7 ft.

Answer 2

1. Exterior angles add up to 360 degrees.

2. Polygon has 360/40 or 9 sides.

3. Sides are 63/9 or 7 feet.

4. That's a big polygon.