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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.

  • Tags: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, IT Trainer

    Area problems


    Search Results


    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle.

    • Options
    • A. 30
    • B. 40
    • C. 50
    • D. 60
    • Discuss
    • 6. 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
    • 7. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

    • Options
    • A. 16
    • B. 18
    • C. 20
    • D. 22
    • 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 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
    • 10. 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


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