a piece of string is 30 cm long what will be the length of each side if the string is used to form a square and equilateral triangle and a regular hexagon
Answers
Answer:
Solution:-
The string length is the perimeter of the shape.
∴ For each case, perimeter=30cm
(i) Square
A square has all the side equal.
Perimeter=4×(side of square)
∴side of square=
4
perimeter
=
4
30
=7.5cm
Hence, length of each side if the string is used to form a square will be 7.5 cm.
(ii) Equilateral triangle
An equilateral triangle has three equal sides.
Perimeter=3×(side)
∴side=
3
perimeter
=
3
30
=10cm
Hence, length of each side if the string is used to form an equilateral triangle will be 10 cm.
(iii) Regular hexagon
A regular hexagon has six equal sides.
Perimeter=6×(side)
∴side=
6
perimeter
=
6
30
=5cm
Hence, length of each side if the string is used to form a regular hexagon will be 5 cm
Total length of the wire = 30 cm
When formed a square :
A square consists of 4 side, then :
Length of each side = 30/4
= 7.5 cm
When formed an equilateral triangle :
An equilateral triangle consists of 3 sides, then :
Length of each side = 30/3
= 10 cm
When formed a regular hexagon :
A regular hexagon consists of 6 sides, then :
Length of each side = 30/6
= 5 cm