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  • Question
  • An error 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. 2%
  • B. 2.02%
  • C. 4%
  • D. 4.04%

  • Correct Answer
  • 4.04% 

    Explanation
    100 cm is read as 102 cm.

    ∴ A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.

    (A2 - A1) = [(102)2 - (100)2]

    = (102 + 100) x (102 - 100)

    = 404 cm2.

    ∴ Percentage error = 404 x 100 ❩% = 4.04%
    100 x 100


    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. 34
    • B. 40
    • C. 68
    • D. 88
    • Discuss
    • 2. The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is the area of the closet in square feet?

    • Options
    • A.
      5 1
      4
    • B.
      13 1
      2
    • C. 27
    • D. 37
    • Discuss
    • 3. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

    • Options
    • A. 40
    • B. 50
    • C. 120
    • D. Data inadequate
    • E. None of these
    • 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. 10%
    • B. 10.08%
    • C. 20%
    • D. 28%
    • Discuss
    • 5. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

    • Options
    • A. 25% increase
    • B. 50% increase
    • C. 50% decrease
    • D. 75% decrease
    • Discuss
    • 6. A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

    • Options
    • A. 20
    • B. 24
    • C. 30
    • D. 33
    • Discuss
    • 7. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

    • Options
    • A. 15360
    • B. 153600
    • C. 30720
    • D. 307200
    • Discuss
    • 8. The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

    • Options
    • A. 9 cm
    • B. 18 cm
    • C. 20 cm
    • D. 41 cm
    • Discuss
    • 9. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

    • Options
    • A. 2.91 m
    • B. 3 m
    • C. 5.82 m
    • D. None of these
    • Discuss
    • 10. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

    • Options
    • A. 814
    • B. 820
    • C. 840
    • D. 844
    • Discuss


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