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The length of a piece of wire is 72 m. Find the length of each side if the wire is used to form
(a) regular pentagon
(b) a regular hexagon
Answers
Step-by-step explanation:
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.
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