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  • Question
  • If the base of a rectangular is increased by 10% and the area is unchanged , then the corresponding altitude must to be decreased by?


  • Options
  • A. 91/11 %
  • B. 10%
  • C. 11%
  • D. 111/9 %

  • Correct Answer
  • 91/11 % 

    Explanation

    Let base = b and altitude = h
    Then, Area = b x h

    But New base = 110b / 100 = 11b / 10

    Let New altitude = H
    Then,
    Decrese = (h - 10h /11 )
    = h / 11


    ? Required decrease per cent
    = (h/11) x (1 / h ) x 100 %

    = 91/11 %


  • Area problems


    Search Results


    • 1. 
      One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is?

    • Options
    • A. 12 m2
    • B. 15 m2
    • C. 20 m 2
    • D. 4?5 m2
    • Discuss
    • 2. 
      The length and breadth of a rectangular piece of land are in the ratio of 5:3, the owner spent Rs.3000 for surrounding it from all the sides at Rs.7.50 per meter. The different between its length and breadth is?

    • Options
    • A. 50 m
    • B. 100 m
    • C. 150 m
    • D. 200 m
    • Discuss
    • 3. 
      The radius of a circular field is 25 m. Find the area of the field.

    • Options
    • A. 125 ? sq m
    • B. 625 ? sq m
    • C. 25 ? sq m
    • D. 135 ? sq m
    • Discuss
    • 4. 
      What is the diameter of the circle having 3 cm radius?

    • Options
    • A. 6 cm
    • B. 12 cm
    • C. 1.5 cm
    • D. 8 cm
    • Discuss
    • 5. 
      If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals.

    • Options
    • A. 20%
    • B. 10%
    • C. 15%
    • D. 18%
    • Discuss
    • 6. 
      The length of hall is (4/3) times its breadth. If the area of hall be 300 square meters, the difference between the length and the breadth is?

    • Options
    • A. 15 meters
    • B. 4 meters
    • C. 3 meters
    • D. None of these
    • Discuss
    • 7. 
      The cost of cultivating a square field at the rate of Rs. 160 per hectare is Rs. 1440. the cost of putting a fence around it at 75 paisa per meter is?

    • Options
    • A. Rs. 900
    • B. Rs. 1800
    • C. Rs. 360
    • D. Rs. 810
    • Discuss
    • 8. 
      A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

    • Options
    • A. 100 meters
    • B. 66.66 meters
    • C. 33 meters
    • D. (100/ ? 3 ) meters
    • Discuss
    • 9. 
      The ratio between the length and breadth of a rectangular field is 5:4. If the breadth is 20 meters less than the length, the perimeters of the field is?

    • Options
    • A. 260 m
    • B. 280 m
    • C. 360 m
    • D. none of these
    • Discuss
    • 10. 
      The area of a rectangle, 144 m long is the same as that of a square having a side 84 m long. The width of the rectangle is?

    • Options
    • A. 7 m
    • B. 14 m
    • C. 49 m
    • D. Cannot be determined
    • Discuss


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