Q1. A piece of wire is 144 cm long. What
will be the length of each side if the wire
is used to form:
a) a rectangle having breadth 34 cm.
b) a regular octagon.
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Given : A piece of wire is 144 cm long
the wire is used to form:
a) a rectangle having breadth 34 cm.
b) a regular octagon.
To Find : length of each side
Solution:
Perimeter of rectangle = 2 ( l + b)
l = length
b = breadth = 34 cm
Perimeter = wire length = 144 cm
=> 2( l + 34) = 144
=> l + 34 = 72
=> l = 38
Length of rectangle = 38 cm
Side of octagon = a
Perimeter of octagon = 8a
8a = 144
=> a = 18
Length of each side of octagon = 18 cm
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