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  • Question
  • The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is


  • Options
  • A. 5100 sq.m
  • B. 4870 sq.m
  • C. 4987 sq.m
  • D. 4442 sq.m

  • Correct Answer
  • 5100 sq.m 

    Explanation

    Let the breadth of floor be 'b' m.

    Then, length of the floor is 'l = (b + 25)'

    Area of the rectangular floor = l x b = (b + 25) × b

    According to the question,

    (b + 15) (b + 8) = (b + 25) × b

    b 2   +   8 b   +   15 b   +   120   =   b 2   +   25 b

    2b = 120

    b = 60 m.

    l = b + 25 = 60 + 25 = 85 m.

     

    Area of the floor = 85 × 60 = 5100 sq.m.


  • Area problems


    Search Results


    • 1. Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.

    • Options
    • A. 84
    • B. 64
    • C. 44
    • D. 22
    • Discuss
    • 2. A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

    • Options
    • A. 136
    • B. 146
    • C. 166
    • D. 176
    • Discuss
    • 3. The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ?

    • Options
    • A. 150
    • B. 250
    • C. 350
    • D. 550
    • Discuss
    • 4. The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?

    • Options
    • A. 10cm
    • B. 20cm
    • C. 30cm
    • D. 40cm
    • Discuss
    • 5. A room 5m 55cm long and 3m 74cm broad is to be paved with square tiles.Find the least number of square tiles required to cover the floor?

    • Options
    • A. 156
    • B. 166
    • C. 176
    • D. 186
    • Discuss
    • 6. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

    • Options
    • A. 20%
    • B. 30%
    • C. 40%
    • D. 50%
    • Discuss
    • 7. An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

    • Options
    • A. 1.04
    • B. 2.04
    • C. 3.04
    • D. 4.04
    • Discuss
    • 8. Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is

    • Options
    • A. 1.967
    • B. 1.867
    • C. 1.767
    • D. 1.567
    • Discuss
    • 9. The ratio between the length and breadth of a rectangular field is 5 : 4 if the breadth is 20m less than the length, the perimeter of the field is :

    • Options
    • A. 260m
    • B. 280m
    • C. 360m
    • D. none of these
    • Discuss
    • 10. The dimensions of a room are 10m x 7m x 5m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1m x 3m. One window is of size 2m x 1.5m and the other 2 windows are of size 1m x 1.5m. The cost of painting the walls at Rs. 3 per sq m is

    • Options
    • A. Rs.174
    • B. Rs.274
    • C. Rs.374
    • D. Rs.474
    • Discuss


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