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Answers
Answer:
- The length of each side of the string to form a square = 7.5 cm.
- The length of each side of the string to form an equilateral triangle = 10 cm
- The length of each side of the string to form a regular hexagon = 5 cm
Step-by-step explanation:
Using the formula of the perimeter we calculate the length of the sides of the figure.
(i) All the sides of a square are of equal length. and There are 4 sides in a square.
Length of the string = Perimeter of the square
30 cm = 4(side)
Side = 30/4
Side = 7.5 cm
(ii) All the sides of an equilateral triangle are of equal length.And there are 3 sides in a triangle.
Perimeter of triangle = 3 (side)
3 (side) = 30
Side = 30/3 = 10 cm
(iii)All the sides of a regular hexagon are of equal length.And there are 6 sides in a hexagon
Perimeter of hexagon = 6 (side)
6 (side) = 30
side = 30/6 = 5 cm
Answer:
- a square
7.5 cm
30 cm =6a --- ( let a be the length of each side)
a =5 cm .hence the length of each side of the string to form a square = 7.5 cm
- an equilateral triangle
An equilateral triangle has three equal sides
perimeter = 3* (side)
⋯ side = perimeter / 3 = 30/3 = 10 cm
Hence the length oh each side of equilateral triangle is 10 cm
- a regular hexagon
- a regular hexagon has six equal sides
perimeter = 6ᳵ( side )
∵ side = perimeter / side = 30/6 = 5 cm
Hence , length of each side if the string is used to forma regular hexagon will be 5 cm
- square = 7.5cm
- an equilateral triangle = 10 cm
- a regular hexagon = 5 cm