Area and Perimeter


  1. The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller?









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    Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2

    Correct Option: C

    Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2
    = (24/12)2
    = 4


  1. A cost of cultivating a square field at a rate of ₹ 135 per hectare is ₹ 1215. The cost of putting a fence around it at the rate of 75 paise per meter wouldbe











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    Area of the field =1215/135 = 9 hec
    = 90000 m2 [1 hec =10000 m2]
    ∴ Side of the field = √90000 = 300 m

    Correct Option: C

    Area of the field =1215/135 = 9 hec
    = 90000 m2 [1 hec =10000 m2]
    ∴ Side of the field = √90000 = 300 m
    Perimeter of the field = 4 x 300 = 1200 m

    Now, cost of putting a fence around field = (1200 x 75)/100 = ₹ 900



  1. The ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.











  1. View Hint View Answer Discuss in Forum

    Let length of rectangle = 5k
    and breadth of rectangle = 3k

    According to the quecation,
    5k - 3k = 8

    Required area = Lenght x Breadth

    Correct Option: C

    Let length of rectangle = 5k
    and breadth of rectangle = 3k

    According to the quecation,
    5k - 3k = 8
    ⇒ 2k =8
    ∴ k = 4
    ∴ Lenght = 5k = 5 x 4 = 20 m
    Breadth = 3k = 3 x 4 = 12 m

    ∴ Required area = Lenght x Breadth
    = 20 x 12 = 240 sq m


  1. The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.











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    Let the third side be x.
    According to the question,
    x + 20 = 26

    Correct Option: A

    Let the third side be x.
    According to the question,
    x + 20 = 26
    ⇒ x = 26 - 20 = 6 cm
    ∴ Each equal side = 20/2 = 10 cm



  1. Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is ?









  1. View Hint View Answer Discuss in Forum

    Number of tiles needed = (Area of square room) / (Area of tile)

    Correct Option: C

    Area of square room = (10)2 = 100 sq m
    = 100 x (100)2 sq cm
    = 100 x 100 x 100 sq cm

    Now, area of tiles = (50)2 = 50 x 50 sq cm
    ∴ Number of tiles needed = (Area of square room) / (Area of tile)
    = (100 x 100 x 100) / (50 x 50)
    = 400

    Hence, 400 tiles will be needed.