Question

Anthony drew a pentagon with each side measuring 6 inches. Carol drew hexagon with each side measuring 5 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.

Answer 1

The perimeter of both shapes is equal.

Explanation:

We have been Anthony drew a pentagon with each side measuring 6 inches.

We know that perimeter of a regular polygon is n times the side length of polygon, where n represents number of sides in a polygon.

We know that a pentagon has 5 sides, so perimeter of pentagon would be
`5* 6\text{ inches}=30\text{ inches}`.

Carol drew hexagon with each side measuring 5 inches. We know that a hexagon has 6 sides, so perimeter of hexagon would be
`6* 5\text{ inches}=30\text{ inches}`.

Therefore, the perimeter of both shapes is equal.

Answer 2

A pentagon has 5 sides.
A hexagon has 6 sides.
If the pentagon has 5 sides that each measure 6 inches, then the perimeter would be 30 inches.
If the hexagon has 6 sides that measure 5 inches each, then the perimeter is also 30.
The shapes have the same perimeter.