Home
Class 12
MATHS
A rod of 108 cm long is bent into a rect...

A rod of 108 cm long is bent into a rectangle. When area of rectangle is maximum its dimension are

A

20 cm, 34 cm

B

22 cm, 32 cm

C

27 cm, 27 cm

D

17 cm, 37 cm

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

A rod of 108 meters long is bent to from a rectangle . Find its dimensions if the area is maximum .

A rod of 108m long bent to form a rectangle. Find it’s dimensions when it’s area is maximum.

A wire of length 120cm is bent in the form of a rectangle. Find its dimensions if the area of the rectangle is maximum

A wire of length 36meters is bent in the form of a rectangle. Find its dimensions if the area of the rectangle is maximum

A metal wire of 36cm long is bent to form a rectangle.Find its dimensions when its area is maximum.

A wire of length 16cm is bent to form a rectangle.Find the dimensions of the rectangle so that it has the maximum area

A rectangle has an area of 50 "cm"^(2) . Find its dimensions for least perimeter.

If the area of a rectangle is 52.4 m^(2) , then its possible dimensions are _______.

A rectangle has a perimeter of 72 cm. If its length is 20 cm then area of the rectangle in square centimetres is

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. If PQ and PR the two sides of a triangle, then the angle between them ...

    Text Solution

    |

  2. A rectangle has an area of 50 "cm"^(2). Find its dimensions for least ...

    Text Solution

    |

  3. A rod of 108 cm long is bent into a rectangle. When area of rectangle ...

    Text Solution

    |

  4. A metal wire of 36 cm long is bent to form a rectangle. Find its dimen...

    Text Solution

    |

  5. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  6. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  7. A rectangle is inscribed in a semicircle of radius 1 unit. If its two ...

    Text Solution

    |

  8. A window is in the form of a rectangle surmounted by a semi-circle....

    Text Solution

    |

  9. A rectangular sheet of paper has the area 24 sq. meters. The margin at...

    Text Solution

    |

  10. If a rectangle of maximum area is inscibed in the ellipse (x^(2))/(a^(...

    Text Solution

    |

  11. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  12. If P is the perimeter and r is the radius of a sector, then the area o...

    Text Solution

    |

  13. From a square cardboard of side 18 cms an open tank is made by cutting...

    Text Solution

    |

  14. From a metal sheet of area 192 sq. cm, a box with square base and open...

    Text Solution

    |

  15. Determine the points on the curve x^2=4y which are nearest to th...

    Text Solution

    |

  16. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  17. A right circular cone have slant height 3 cm. Then its volume is maxim...

    Text Solution

    |

  18. The height of the cone of maximum volume inscribed in a sphere of radi...

    Text Solution

    |

  19. An open cylindrical tank whose base is a circle is to be constructed o...

    Text Solution

    |

  20. Find the maximum volume of right circular cylinder, if the sum of its...

    Text Solution

    |