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A piece of a string is 60 cm long what will be the length of each side if the given string is used to form:
A) A square
B) An equilateral triangle
C) A regular pentagon
D) A regular hexagon
E) A regular decagon
Given: Length of a piece of a string = 60 cm
To find: We have to find the length of each side of the different shapes if the 60 cm long string is used to form a square, an equilateral triangle, a regular pentagon, a regular hexagon, and a regular decagon.
Solution:
All the given shapes have different number of sides but the length of their sides is equal, so we just have to divide 60 by the number of sides that shape have to calculate the side length of that particular shape.
Now,
A) Square
A square has 4 equal sides.
So,
Length of each side = $\frac{60}{4}$ = 15 cm
B) An Equilateral triangle
An Equilateral triangle has 3 equal sides.
So,
Length of each side = $\frac{60}{3}$ = 20 cm
C) A regular pentagon
A regular pentagon has 5 equal sides.
So,
Length of each side = $\frac{60}{5}$ = 12 cm
D) A regular hexagon
A regular hexagon has 6 equal sides.
So,
Length of each side = $\frac{60}{6}$ = 10 cm
E) A regular decagon
A regular decagon has 10 equal sides.
So,
Length of each side = $\frac{60}{10}$ = 6 cm
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