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  • Question
  • The breadth of a rectangular field is 75% of its length. If perimeter of the field is 1050 m, what will be th area of field ?


  • Options
  • A. 65700 sq.m
  • B. 54500 sq.m
  • C. 78700 sq.m
  • D. 67500 sq.m

  • Correct Answer
  • 67500 sq.m 

    Explanation

    Let the length be 'l' and breadth be 'b'.

    b = l × 3/4__________(a)

    2(l+b) = 1050

    l+b = 525___________(b)

    From equations (a) and (b),

    l = 300m, b = 225 m

    Area = l × b

    = 300 × 225

    = 67500 sq.m.


  • Area problems


    Search Results


    • 1. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

    • Options
    • A. 22
    • B. 44
    • C. 66
    • D. 88
    • Discuss
    • 2. Find the area of the square whose side is equal to the diagonal of a rectangle of length 3 cm and breadth 4 cm.

    • Options
    • A. 25 sq.cm
    • B. 16 sq.cm
    • C. 9 sq.cm
    • D. 4 sq.cm
    • Discuss
    • 3. 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
    • 4. 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
    • 5. 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
    • 6. The length, breadth and height of a room are in the ratio 7:3:1. If the breadth and height are doubled while the length is halved, then by what percent the total area of the 4 walls of the room will be increased ?

    • Options
    • A. 90%
    • B. 88%
    • C. 85%
    • D. 84%
    • Discuss
    • 7. How many square units in 13 by 9?

    • Options
    • A. 13
    • B. 9
    • C. 117
    • D. 13/9
    • Discuss
    • 8. Find the area of a square, one of whose diagonals is 3.8 m long.

    • Options
    • A. 4.22 sq.m
    • B. 5.22 sq.m
    • C. 6.22 sq.m
    • D. 7.22 sq.m
    • Discuss
    • 9. In two triangles, the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4. Find the ratio of their bases.

    • Options
    • A. 13:9
    • B. 16:9
    • C. 15:9
    • D. 14:9
    • Discuss
    • 10. The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per metre.

    • Options
    • A. 2808
    • B. 3808
    • C. 4808
    • D. 5808
    • Discuss


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