Home
Class 11
MATHS
A window is in the shape of a rectangle ...

A window is in the shape of a rectangle surmounted by a semi-circle. If the perimeter of the window be 20 feet then find the maximum area.

A

`(l^(2))/(2pi+4)`

B

`(l^(2))/(pi+8)`

C

`(l^(2))/(2pi+8)`

D

`(l^(2))/(8pi+4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS|6 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (INTERGER TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

A window is in the shap of a rectangle surmounted by a semicircle. If the perimeter of the window is 20 ft, find the maximum area.

Find the perimeter of the given shape

Find the perimeter of the rectangle .

Find the perimeter of given shape

A ballon is in the shape of a cone surmounted by a semi sphere. The radius of a sphere is equal to the height of the cone. If the height of the ballon is 2 then the rate of change in its volume is ……..times the rate of change in its height.

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -II) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The equation of the line through (3,4) which cuts from the first quadr...

    Text Solution

    |

  2. The maximum possible area that can be enclosed by a wire of length 20 ...

    Text Solution

    |

  3. A window is in the shape of a rectangle surmounted by a semi-circle. I...

    Text Solution

    |

  4. A wire of length 'a' is cut into two parts which are bent in the form ...

    Text Solution

    |

  5. The sum of the hypotenuse and a side of a right angled triangle is con...

    Text Solution

    |

  6. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  7. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  8. Height of the cylinder of maximum volume that can be inscribed in a sp...

    Text Solution

    |

  9. A closed cylinder of given volume will have least surface area when th...

    Text Solution

    |

  10. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  11. The perimeter of a sector is given. The area is maximum when the angle...

    Text Solution

    |

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

    Text Solution

    |

  13. A box of maximum volume with open top is to be made out of a square ti...

    Text Solution

    |

  14. A box is made with square base and open top .The area of the materia...

    Text Solution

    |

  15. A soft dringk manufacturer wants to fabrucate cylindrical cans for its...

    Text Solution

    |

  16. A cone is made from a circular sheet of radius sqrt(3) by cutting out ...

    Text Solution

    |

  17. The lateral edge of a regular hexagonal pyramid is '1' cm. If the volu...

    Text Solution

    |

  18. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  19. A rectangle of the greatest area is inscribed in a trapezium ABCD , on...

    Text Solution

    |

  20. The three sides of a trapezium are equal , each being 8 cm . The area...

    Text Solution

    |