Area and Perimeter


  1. The length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be?









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    Perimeter = 2 x (36 + 21 )m = 144 m
    ∴ Number of flagstaffs = 144 / 3

    Correct Option: B

    Perimeter = 2 x (36 + 21 ) m = 144 m
    ∴ Number of flagstaffs = 144 / 3 = 38


  1. The length of a rectangular plot is twice of its width. If the length of a diagonal is 9√5 meters, the perimeter of the rectangular is ?









  1. View Hint View Answer Discuss in Forum

    Let breadth = y meters,
    Then, length = 2y meters

    ∴ Diagonal = √y2 + (2y)2
    = √5y2 meters

    So, √5y2 = 9 √5

    ∴ y= 9

    Correct Option: B

    Let breadth = y meters,
    Then, length = 2y meters

    ∴ Diagonal = √y2 + (2y)2
    = √5y2 meters

    So, √5y2 = 9 √5
    ∴ y= 9

    Thus, breadth = 9 m and length = 18 m
    ∴ Perimeter = 2 (18 + 9) m = 54m.



  1. A veranda 40 meters long 15 meters broad is to paved with stones each measuring 6 dm by 5 dm. the number of stones required is ?









  1. View Hint View Answer Discuss in Forum

    Length = (40 x 10 ) dm = 400 dm.
    Breadth = (15 x 10 ) dm = 150 dm.

    Area of veranda = (400 x 150 ) dm2
    Area of one stone = (6 x 5 ) dm2

    Correct Option: B

    Length = (40 x 10 ) dm = 400 dm.
    Breadth = (15 x 10 ) dm = 150 dm.

    Area of veranda = (400 x 150 ) dm2
    Area of one stone = (6 x 5 ) dm2

    ∴ Required number of stones = (400 x 150) /(6 x 5) = 2000


  1. if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is ?









  1. View Hint View Answer Discuss in Forum

    Let each side = x cm
    Then, (x + 4 )2 - x2 = 60

    Correct Option: D

    Let each side = x cm
    Then, (x + 4 )2 - x2 = 60
    ⇒ x 2 + 8x + 16 - x2 = 60
    ∴ x = 5.5 cm



  1. If the side of a square is increased by 25%, then how much percent does its area get increased ?









  1. View Hint View Answer Discuss in Forum

    Let area 100 m2
    Then, side = 10 m

    New side = 125 % of 10
    = (125/100) x 10)
    = 12.5 m

    New area = 12.5 x 12.5 m2
    =(12.5)2 sq. m

    Correct Option: D

    Let area 100 m2
    Then, side = 10 m

    New side = 125 % of 10
    = (125/100) x 10
    = 12.5 m

    New area = 12.5 x 12.5 m2
    =(12.5)2 sq. m

    ∴ Increase in area = (12.5)2 - (10)2 m2
    = 22.5 x 2.5 m2
    =56.25 m2

    % Increase = 56.25 %