Home
Class 12
MATHS
A rectangular sheet of fixed perimeter w...

A rectangular sheet of fixed perimeter with sides having their lengths in the ratio `8: 15` is converted into anopen rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. Then the length of the sides of the rectangular sheet are 24 (b) 32 (c) 45 (d) 60

A

24

B

32

C

45

D

60

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 6|2 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Find the length of the side of a square whose area is 2304 m^2 .

Find the length of the side of a square whose area is 441 m^2 .

If area of square is numerically equal to the perimeter of the square. What is the length of each side?

The area of a rectangular sheet is 500 cm^2 . If the length of the sheet is 25 cm, what is its width? Also find the perimeter of the rectangular sheet

The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle.

Find the area of a square plot of side 8m.

A box of maximum volume with top open is to be made by cutting out four equal squares from four corners of a square tin sheet of side length a feet and then folding up the flaps. Find the side of the square cut-off.

The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.

Sum of the areas of two squares is 468 m^2 . If the difference of their perimeters is 24 m, find the sides of the two squares.

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let f:(0,oo) to vec R be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , ...

    Text Solution

    |

  2. The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a loca...

    Text Solution

    |

  3. A rectangular sheet of fixed perimeter with sides having their lengths...

    Text Solution

    |

  4. A vertical line passing through the point (h,0) intersects th ellipse ...

    Text Solution

    |

  5. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  6. The total number of local maxima and local minima of the function f(x)...

    Text Solution

    |

  7. If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...

    Text Solution

    |

  8. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

    Text Solution

    |

  9. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

    Text Solution

    |

  10. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

    Text Solution

    |

  11. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  12. If f(x)=e^(1-x) then f(x) is

    Text Solution

    |

  13. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

    Text Solution

    |

  14. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

    Text Solution

    |

  15. If f(x) is a cubic polynomil which has local maximum at x=-1 . If f(2)...

    Text Solution

    |

  16. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |

  17. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

    Text Solution

    |

  18. Find the value of 71 - (-25) + 37 - 18 + (-11)

    Text Solution

    |

  19. Find the value of 1^2 + 2^2 + 3^2+.......+10^2

    Text Solution

    |

  20. Find a point on the curve x^2 + 2y^2 = 6, whose distance from the li...

    Text Solution

    |