Question

A regular pentagon, a regular hexagon and a square each have sides of 6 cm in length. a. How much longer is the perimeter of the regular hexagon than the perimeter of the square? _____ cmb.

Answer 1

The perimeter of the regular hexagon is 12 cm longer than the perimeter of the square, with both having sides of 6 cm in length.

Step-by-step explanation:

To find out how much longer the perimeter of the regular hexagon is than the perimeter of the square, we calculate the perimeter of each shape and then subtract the perimeter of the square from the perimeter of the hexagon.

For the square with sides of 6 cm, the perimeter (P) is:

• P(square) = 4 × side length = 4 × 6 cm = 24 cm

For the regular hexagon with sides of 6 cm, the perimeter is:

• P(hexagon) = 6 × side length = 6 × 6 cm = 36 cm

To find the difference in perimeters, subtract the perimeter of the square from that of the regular hexagon:

Difference = P(hexagon) - P(square) = 36 cm - 24 cm = 12 cm

Therefore, the perimeter of the regular hexagon is 12 cm longer than the perimeter of the square.