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  • Question
  • 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

  • Correct Answer
  • 4:1 


  • Area problems


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    • 1. 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
    • 2. 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
    • 3. 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
    • Discuss
    • 4. 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
    • 5. 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
    • 6. 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
    • 7. 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
    • 8. Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?

    • Options
    • A. 196
    • B. 30√19
    • C. 40√17
    • D. 35√21
    • Discuss
    • 9. PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in cm2) of the triangle PQR?

    • Options
    • A. 100?2
    • B. 100
    • C. 50?2
    • D. 50
    • Discuss
    • 10. PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?

    • Options
    • A. 40√2
    • B. 80√2 + 80
    • C. 40√2 + 40
    • D. 40√2 + 80
    • Discuss


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