Name: ____________________________
Perimeter of Regular Polygons
Lesson 42
1. Complete the following table:
Polygon
Side length (cm)
Perimeter (cm)
Square
Pentagon
4.3
Hexagon
13.7
Octagon
30
Decagon
8.26
78.4
2. Calculate the perimeter of a regular pentagon with side lengths equal to 3.4 cm.
3. The Canadian dollar (the famous loony) is shaped like a regular hendecagon (11 sides)
with each side measuring approximately 7 mm. What is the perimeter of a $1 coin?
4. Complete the table:
Polygon
Side length
Perimeter
Hexagon
2 cm
Dodecagon
2 cm
20 cm
Pentagon
3.25 cm
12 cm
2.5 cm
17.5 cm
5. A regular heptagon has a perimeter of 84 cm. Find its side length.
6. Complete the table by giving the name of each regular polygon (Make sure to pay attention to the units)
Side Length
Perimeter
Name
9.3 cm
55.8 cm
5.6 cm
28 cm
13.5 cm
1.08 m
4.7 cm
32.9 cm
0.081 m
97.2 cm
7. A regular pentagon has a perimeter of 36.5 cm. Find the perimeter of a regular decagon with the same side
length.
8. A regular pentagon has a perimeter of 43 cm. What would its perimeter be if its side lengths were doubled?
9. Write an expression for the perimeter of each regular hexagon with side lengths equal to:
a.
b.
c.
d.
x
________________
(x + 4) ________________
3v
________________
(2y – 5) ________________
10. A stop sign is a regular octagon with sides measuring 25 cm. Find its perimeter
in meters.
11. Calculate the perimeter of a regular hexagon with 6.5 cm sides.
12. The traffic signs indicating a turn are shaped like squares.
Some have 61 cm sides, and others have 91.5 cm sides. Calculate the perimeter for both.
13. A regular decagon has a perimeter of 57 cm. Find the length of the sides.
14. Complete the following table which gives the side length and perimeter for regular octagons.
Side length (dm)
Perimeter (dm)
2
5.5
32
8.2
15
54
98.4
15. A regular octagon has a perimeter of 42.4 cm. Find the perimeter of a regular hexagon with side lengths the
same length as that of the octagon.
16. A rectangle has a 16 cm base and a 10 cm height. Give the side length of a regular pentagon with the same
perimeter as this rectangle (hint: draw both polygons).
17. What is the side length of a regular octagon whose perimeter is 70xy?