Home
Class 6
MATHS
The perimeter of a regular pentagon is 2...

The perimeter of a regular pentagon is 250 cm. How long is its each side ?

Text Solution

AI Generated Solution

The correct Answer is:
To find the length of each side of a regular pentagon when the perimeter is given, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Perimeter of a Regular Pentagon**: The perimeter (P) of a regular pentagon is calculated using the formula: \[ P = 5 \times \text{side} \] where "side" represents the length of one side of the pentagon. 2. **Identify the Given Perimeter**: According to the problem, the perimeter of the pentagon is given as: \[ P = 250 \, \text{cm} \] 3. **Set Up the Equation**: Using the formula for the perimeter, we can set up the equation: \[ 5 \times \text{side} = 250 \, \text{cm} \] 4. **Solve for the Length of One Side**: To find the length of one side, divide both sides of the equation by 5: \[ \text{side} = \frac{250 \, \text{cm}}{5} \] 5. **Calculate the Value**: Performing the division: \[ \text{side} = 50 \, \text{cm} \] 6. **Conclusion**: Therefore, the length of each side of the regular pentagon is: \[ \text{side} = 50 \, \text{cm} \] ### Final Answer: Each side of the regular pentagon is **50 cm**.
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    MTG IIT JEE FOUNDATION|Exercise NCERT Section )Exercise 10.2)|14 Videos
  • MENSURATION

    MTG IIT JEE FOUNDATION|Exercise NCERT Section (Exercise 10.3)|23 Videos
  • MENSURATION

    MTG IIT JEE FOUNDATION|Exercise Solved Examples|16 Videos
  • KNOWING OUR NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|20 Videos
  • PLAYING WITH NUMBERS

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER |18 Videos

Similar Questions

Explore conceptually related problems

The perimeter of a regular pentagon is 1540cm. How long is its each side?

8.Find the perimeter of the regular hexagon with each side measuring 8m(9). find the side of a square whose perimeter is 20m(10). The perimeter of a regular pentagon is 100cm. How long is its each side?

The perimeter of a regular nonagon is 513 cm. How long is its each side?

The perimeter of a regular pentagon is 100cm. How long is each side?

The perimeter of a regular hexagon is 18cm. How long is its one side?

Study the given statements carefully and select the correct option. Statement - I : If the side of a square is halved, then the new perimeter is two times the original perimeter. Statement - II : If the perimeter of a regular pentagon is 35 cm, then the length of its each side is 5 cm.

If perimeter of a regular hexagon is 108 cm, what is the length of its sides ?

A square of area 100 cm^(2) has the same perimeter as of a regular pentagon. What is the length of the side of the regular pentagon?

If the perimeter of a regular hexagon is x meters . Then the length of each of its sides is

MTG IIT JEE FOUNDATION-MENSURATION-NCERT Section (Exercise 10.1)
  1. Find the perimeter of each of the following shapes : An isosceles tr...

    Text Solution

    |

  2. Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and...

    Text Solution

    |

  3. Find the perimeter of a square with each side measuring 4 m.

    Text Solution

    |

  4. Find the side of the regular hexagon whose perimeter is 36 m.

    Text Solution

    |

  5. The perimeter of a regular pentagon is 250 cm. How long is its each si...

    Text Solution

    |

  6. A piece of string is 30 cm long. What will be the length of each side ...

    Text Solution

    |

  7. A piece of string is 30 cm long. What will be the length of each side ...

    Text Solution

    |

  8. A piece of string is 30 cm long. What will be the length of each side ...

    Text Solution

    |

  9. One side of an isosceles triangle is 16 cm . The perimeter of the tria...

    Text Solution

    |

  10. Find the cost of fencing a square park of side 250 m at the rate of Rs...

    Text Solution

    |

  11. Find the cost of fencing a rectangular park of length 175m and brea...

    Text Solution

    |

  12. Sweety runs around a square park of side 75 m. Bulbul runs around a ...

    Text Solution

    |

  13. What is the perimeter of each of the following figures ?

    Text Solution

    |

  14. What is the perimeter of each of the following figures ?

    Text Solution

    |

  15. What is the perimeter of each of the following figures ?

    Text Solution

    |

  16. What is the perimeter of each of the following figures ?

    Text Solution

    |

  17. Avneet buys 9 square paving slabs, each with a side of 1/2 m. He lays ...

    Text Solution

    |

  18. Avneet buys 9 square paving slabs, each with a side of (1)/(2)m. He la...

    Text Solution

    |

  19. Avneet buys 9 square paving slabs, each with a side of (1)/(2)m. He la...

    Text Solution

    |

  20. Avneet buys 9 square paving slabs, each with a side of 1/2m . He la...

    Text Solution

    |