Home
Class 12
MATHS
A polygon has 25 sides, the lengths of w...

A polygon has 25 sides, the lengths of which starting from the smallest side are in A.P. If the perimeter of the polygon is 1100 cm and the length of the largest side is 10 times that of the smallest, find the length of the smallest side and the common difference of the A.P.

Text Solution

Verified by Experts

The correct Answer is:
Length of the smallest side = 8 cm and C.D. = 3cm
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Multiple Choice Type Questions)|14 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Very Short Answer Type Questions)|17 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Short Answer Type Questions)|42 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

In a right angled triangle the ratio of the smaller sides is 3 : 4. If the length of greatest side is 20cm., then the length of the smallest side is

The perimeter of a parallelogram is 50cm , If the length of its greater side be 15 cm , then the length of its smaller side is equal to -

The base of an isosceles triangle is 12 cm and the length of each of the equal sides is 10 cm, find the height of the triangle.

The perimeter of an isoceles triangle is 544 cm. The length of each equal sides is (5)/(6) part of its base. Find the area of the triangle.

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

If the lengths of the diagonals of a rhombus be 18cm and 24 cm. Then find the length of its sides.

If the angles of a triangle are in the ratio 1:2:3 and the circumradius is 10 cm, find the lengths of its sides.

The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

The longest side of a traingle is three times the shortest side and the third side is 2 cm shorter than the longest side. If perimeter of the traingle is at least 61 cm, then the minimum length of the shortest side will be-

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Long Answer Type Questions)
  1. The first and last terms of an A.P. are a and l respectively. If S be ...

    Text Solution

    |

  2. If the first, second and last terms of A.P. be a, b, and c respectivel...

    Text Solution

    |

  3. If S(n) be the sum of n consecutive terms of an A.P. show that, S(n+...

    Text Solution

    |

  4. If S(n) be the sum of n consecutive terms of an A.P. show that, S(n+...

    Text Solution

    |

  5. Let a(n) denote the n-th term of an A.P. and p and q be two positive i...

    Text Solution

    |

  6. Find the sum of the three-digited natural numbers which leave a remain...

    Text Solution

    |

  7. Between the roots of the quadratic equation 3px^(2) - 10px + 5q = 0 (p...

    Text Solution

    |

  8. Let a(n) be the nth term of an A.P. and a(3) + a(5) + a(8) + a(14) + a...

    Text Solution

    |

  9. Find the sum upto the nth term of the series (1+3) + (5+7+9+11) + (13 ...

    Text Solution

    |

  10. If S(1), S(2), S(3) are the sums of n natural numbers, their squares, ...

    Text Solution

    |

  11. If a(1) = 2 and a(n) - a(n-1) = 2n (n ge 2), find the value of a(1) + ...

    Text Solution

    |

  12. Find the middle term of the series 1+5+9+…+101.

    Text Solution

    |

  13. If (b^(2) + c^(2) - a^(2))/(2bc), (c^(2) + a^(2) - b^(2))/(2ca), (a^(2...

    Text Solution

    |

  14. To verify the cash balance, the auditor of Jaya Bank Ltd. Employs his ...

    Text Solution

    |

  15. A polygon has 25 sides, the lengths of which starting from the smalles...

    Text Solution

    |

  16. A sets out from a certain place and tavels 1 mile the first day, mile...

    Text Solution

    |

  17. A man arranges to pay off a debt of Rs. 12000 in 30 annual instalments...

    Text Solution

    |

  18. A man divides Rs. 24000 among his four sons in such a way that the amo...

    Text Solution

    |

  19. Two posts are offered to a man. In the first one, the starting salary ...

    Text Solution

    |

  20. The salary of a man starts at Rs. 800 and increases annually by Rs. 20...

    Text Solution

    |