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  • Question

  • If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.


  • Options
  • A. 40 units
  • B. 30 units
  • C. 13 units
  • D. 24 units

  • Correct Answer
  • 24 units 

    Explanation

    Ratio of length and breadth is 6 : 5
    ? Length = 6x
    Breadth = 5x
    ? Area = l x b = 30x2
    ? Perimeter = 2 (l + b) = 2(6x + 5x) =22x
    ? (30*x*x)/(22x)= 60/11
    ? X = 4
    ? Length = 6x = 6 x 4 = 24 units

    • Area problems

    Search Results

    • 1. In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course

    • Options
    • A. 32
    • B. 42
    • C. 62
    • D. 92
      • Discuss
    • 2. Find the perimeter of the rectangle or square with the given dimensions s = 3 cm

    • Options
    • A. 12
    • B. 13
    • C. 14
    • D. 15
      • Discuss
    • 3. Find the perimeter of the rectangle or square with the given dimensions s = 3 cm

    • Options
    • A. 12
    • B. 13
    • C. 14
    • D. 15
      • Discuss
    • 4. The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?

    • Options
    • A. 6cm
    • B. 5cm
    • C. 3cm
    • D. 4cm
      • Discuss
    • 5. If the radius of a circle is decreased by 50%, find the percentage decrease in its area.

    • Options
    • A. 55%
    • B. 65%
    • C. 75%
    • D. 85%
      • Discuss
    • 6. The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?

    • Options
    • A. 13 cm
    • B. 14 cm
    • C. 16 cm
    • D. 12 cm
      • Discuss
    • 7. D and E are the points on the sides AB and AC respectively of a ?ABC and AD = 8 cm, DB = 12 cm, AE= 6 cm and EC = 9 cm, then BC is equal to:

    • Options
    • A. 2/5 DE
    • B. 5/2 DE
    • C. 3/2 DE
    • D. 2/3 DE
      • Discuss
    • 8. Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ?AOB and ?COD is

    • Options
    • A. 4:1
    • B. 1:16
    • C. 1:4
    • D. 16:1
      • Discuss
    • 9. If O is the orthocentre of a triangle ABC and ?BOC = 100°, the measure of ?BAC is

    • Options
    • A. 100°
    • B. 180°
    • C. 80°
    • D. 200°
      • Discuss
    • 10. What is the area (in cm2) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

    • Options
    • A. 275/7
    • B. 550/7
    • C. 2200/7
    • D. 1100/7
      • Discuss

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