Question

A PIECE OF STRING IS 30CM LONG WHAT WILL BE THE LENGTH OF EACH SIDE IF THE STRING IS USED TO FORM: A. AN EQUILATERAL B. A REGULAR HEXAGON​

Answer 1

Answer:

A) Since the string forms a square.

All the sides of a square are of equal length.

There are 4 sides in a square.

Length of the string = Perimeter of the square --- (perimeter of a square = 4a)

⟹30 cm = 4a --- (Let ‘a’ be the length of each side.)

⟹304 = a

⟹a = 7.5 cm

(B) Since the string forms an equilateral triangle.

All the sides of an equilateral triangle are of equal length.

There are 3 sides in a triangle.

Length of the string = Perimeter of the triangle --- (perimeter of a triangle = 3a)

⟹30 cm = 3a ---- (Let ‘a’ be the length of each side.)

⟹303 = a

⟹a = 10 cm

(C) Since the string forms a regular hexagon.

All the sides of a regular hexagon are of equal length.

There are 6 sides in a hexagon.

Length of the string = Perimeter of the hexagon --- (perimeter of a hexagon = 6a)

⟹30 cm = 6a --- (Let ‘a’ be the length of each side.)

⟹306= 6a

⟹a = 5 cm.

Hence, 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

Answer 2

Answer:

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Step-by-step explanation:

A PIECE OF STRING IS 30CM LONG WHAT WILL BE THE LENGTH OF EACH SIDE IF THE STRING IS USED TO FORM: A. AN EQUILATERAL B. A REGULAR HEXAGON