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  • Question
  • A circular swimming pool is surrounded by a concrete wall 4ft wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius of the pool is?


  • Options
  • A. 10ft
  • B. 20ft
  • C. 30ft
  • D. 40ft

  • Correct Answer
  • 20ft 

    Explanation

    let the radius of the pool be Rft

     

    Radius of the pool including the wall = (R+4)ft

     

    Area of the concrete wall = ? R + 4 2 - R 2 = ? R + 4 + R R + 4 - R   =   8 ? R + 2  sq feet

     

    => 8 ? R + 2   =   11 25 ?R 2   = > 11 R 2   = 200 R + 2

     

    Radius of the pool R = 20ft


  • Area problems


    Search Results


    • 1. The no of revolutions a wheel of diameter 40cm makes in traveling a distance of 176m is

    • Options
    • A. 240
    • B. 140
    • C. 40
    • D. 340
    • Discuss
    • 2. If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.

    • Options
    • A. 20
    • B. 30
    • C. 40
    • D. 50
    • Discuss
    • 3. The length and the breadth of rectangular field are in the ratio of 8 : 7. If charges of the painting the boundary of rectangle is at Rs. 10 per meter is Rs. 3000. What is the area of rectangular plot?

    • Options
    • A. 5600 sq.m
    • B. 1400 sq. m
    • C. 4400 sq.m
    • D. 3600 sq.m
    • Discuss
    • 4. A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?

    • Options
    • A. 65m
    • B. 45m
    • C. 55m
    • D. 56m
    • Discuss
    • 5. What is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad?

    • Options
    • A. 814
    • B. 714
    • C. 614
    • D. 713
    • Discuss
    • 6. The breadth of a rectangular field is 60% of its length. If the perimeter of the field is 800 m.What is the area of the field?

    • Options
    • A. 47500
    • B. 37500
    • C. 57500
    • D. 77500
    • Discuss
    • 7. A typist uses a sheet measuring 20cm by 30cm lengthwise.If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is

    • Options
    • A. 64%
    • B. 74%
    • C. 84%
    • D. 94%
    • Discuss
    • 8. The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ?

    • Options
    • A. 18 cm
    • B. 12 cm
    • C. 16 cm
    • D. 14 cm
    • Discuss
    • 9. A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.

    • Options
    • A. 14
    • B. 13
    • C. 12
    • D. 11
    • Discuss
    • 10. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?

    • Options
    • A. 108 sq.cm
    • B. 112 sq.cm
    • C. 116 sq.cm
    • D. 120 sq.cm
    • Discuss


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