Question

5) Manasa has 24cm of metallic wire with her. She wanted to make some polygons with equal
sides whose sides are integral without milling into pieces values. Find how many such polygons
she can make with the length of 24cm metallic wire?
answer fastly step by step explanation​

Answer 1

Answer:

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)

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation: