## 4. A piece of string is 30 cm long. What will be the length of each side if the string is used to form:​

Question

4. A piece of string is 30 cm long. What will be the length of each side if the string is used to form:​

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4 weeks 2021-08-17T21:51:33+00:00 2 Answers 0 views 0

1. 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