Manasa has 24cm of metalic wire with her.She wanted to make some polygons with equal sides whose sides are integral without millinginto pieces value. Find how many such polygons she can make with the length of 24 cm metallic wire
Answers
Step-by-step explanation:
Given:-
Manasa has 24cm of metalic wire with her.She wanted to make some polygons with equal sides whose sides are integral without millinginto pieces value.
To find:-
Find how many such polygons she can make with the length of 24 cm metallic wire ?
Solution:-
Given that
Length of the metallic wire = 24 cm
Total length = 24cm
Perimeter = 24 cm
1.She can make an equilateral triangle
We know that the Perimeter of an equilateral triangle with a units is 3a units
=> 3a = 24
=> a = 24 /3
=> a = 8 cm
So she can make an equilateral triangle of 8cm each.
2.She can make a square and Rhombus
Perimeter of a square or rhombus of a units side = 4 a units
=> 4a = 24
=> a =24/4
=> a = 6cm
She can make a square or rhombus of 6cm each side
3. She can make a hexagon
Perimeter of a hexagon of a units = 6a units
=> 6a = 24
=> a = 24/6
=> a = 4 cm
She can make a regular hexagon of 4cm each
4. She can make a regular Octagon
Perimeter of a regular Octagon of a side a units = 8a units
=> 8a = 24
=> a = 24/8
=> a = 3 cm
Manasa can make a regular Octagon of 3 cm each side.
5.She can make a bi-decagon of 12 sides
perimeter of a 12 sided regular polygon = 12 a
=> 12 a = 24
=> a = 24/12
=> a = 2 cm
Manasa can make a 12-sided regular polygon of 2cm each side.
Answer:-
She can make 5 type of polygons .They are
1.Equilateral triangle
2. Square or Rhombus
3.Hexagon
4.Octagon
5. Bi-decagon (12- Sided regular polygon)
Used formulae:-
- Perimeter of an equilateral triangle with a units is 3a units
- Perimeter of a square or rhombus of a units side = 4 a units
- Perimeter of a regular hexagon of a units = 6a units
- Perimeter of a regular Octagon of a side a units = 8a units
- perimeter of a 12 sided regular polygon = 12 a units
Step-by-step explanation:
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