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  • Question
  • An error of 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. 4.04%
  • B. 5.04%
  • C. 6.04%
  • D. 7.04%

  • Correct Answer
  • 4.04% 

    Explanation

    100 cm is read as 102 cm

     

    a = 100 x 100 sq.cm and b = 102 x 102 sq.cm

     

    then, Increase in area = [ (102 x 102) - (100 x 100) ] sq.cm

     

    percentage error = 404 100 * 100 * 100 = 4.04%


  • Area problems


    Search Results


    • 1. A square and rectangle have equal areas. If their perimeters are p and q respectively. Then

    • Options
    • A. p
    • B. p>q
    • C. p=q
    • D. none of these
    • Discuss
    • 2. Find the length of the altitude of an equilateral triangle of side 33 cm.

    • Options
    • A. 4.5
    • B. 3.5
    • C. 2.5
    • D. 6.5
    • Discuss
    • 3. 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
    • 4. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

    • Options
    • A. 18%
    • B. 28%
    • C. 38%
    • D. 48%
    • Discuss
    • 5. In ?ABC, AC = BC and ?ABC = 50°, the side BC is produced to D so that BC = CD then the value of ?BAD is

    • Options
    • A. 80°
    • B. 40°
    • C. 90°
    • D. 50°
    • Discuss
    • 6. A slice from a circular pizza of diameter 14 inches is cut in asuch a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?

    • Options
    • A. 16.25
    • B. 19.25
    • C. 18.25
    • D. 17.25
    • Discuss
    • 7. The length of the radius of the circumference of a triangle having sides 9 cm, 12 cm and 15 cm is

    • Options
    • A. 6 cm
    • B. 7.5 cm
    • C. 4.5 cm
    • D. 8 cm
    • Discuss
    • 8. From a square plate with each side 7 cm, squares of area 0.25 sq. cm are cut out at each corner and the remaining plate is folded along the cuts to form a cuboid. The volume of this open-top cuboid will be ......... . cub.cm

    • Options
    • A. 21
    • B. 16
    • C. 18
    • D. 20
    • Discuss
    • 9. A quadrilateral is inscribed in a circle. If the opposite angles of the quadrilateral are equal and length of its adjacent sides are 6 cm and 8 cm, what is the area of the circle?

    • Options
    • A. 64? sq cm
    • B. 25? sq cm
    • C. 36? sq cm
    • D. 49? sq cm
    • Discuss
    • 10. Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 2:3, and area of ? APQ is 8 sq cm, what is the area of trapezium PQCB?

    • Options
    • A. 50 sq cm
    • B. 18 sq cm
    • C. 42 sq cm
    • D. 14 sq cm
    • Discuss


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