d) The perimeter of a regular octagon is the same as that of a square.
What can be said about the length of a side of the octagon relative
to the length of the side of the square?
e) Two regular pentagons have the same perimeter. Are they congruent?
Explain your answer.
f) I am a regular polygon with a perimeter of 42 cm. The length o‘f my side is
a whole number. Which regular polygons could I be?
9) Two different regular polygons are drawn, using two circles with the same
radius. If the perimeters of the polygons are compared, what can be said about
the polygon with the greater perimeter?
\l
A regular decagon has a perimeter of 57 cm. Find the length of the sides.
"2
Calculate the perimeter of a regular pentagon with side 3.4 cm.
.3
In each case, name the regular polygon.
ITINERARY
10
A regular octagon has a perimeter of 42.4 cm. Find the perimeter of
a regular hexagon with a side the same length as that of the octagon.
m5
Copy and complete the following table for regular octagons.
Is this relation a proportional situation?
Explain your answer.
VJ
A stop sign is a regular
octagon with side 25 cm.
Find its perimeter in metres.
un“
a") The ratio of the perimeters of two regular octagons is equal to the ratio
of the lengths of their sides.
b) The ratio of the length of a side in a regular pentagon and in a regular
decagon is not the same as the ratio of their perimeters.”
c) The perimeter of a regular hexagon is 600% of the length of a side.
Write the expression representing the perimeter of a regular octagon
if the length of r'ts side is given by the following:
a) p units.
\m
b) 23 units.
c} b + 5 units.
d) 20— 4 units.
Find the expression that represents the length of the side of a regular pentagon
whose perimeter is given by the following:
a) 153 units.
b) 5a — 30 units.
c) 20b + 5 units.
The perimeter
of my regular octagon
is 45x units.
d) 80(a + b) units.
What expression
represents the length
of its side?
REGULAR
POLYGONS