Area and Perimeter


  1. The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas.









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    Let the diagonals of the squares be 3x and 2x.
    ∴ Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)]

    Correct Option: A

    Let the diagonals of the squares be 3x and 2x.
    ∴ Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4


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









  1. View Hint View Answer Discuss in Forum

    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. If the sides of a squares is increased by 25%, then the area of the squares will be increased by









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    Required increment = 2a + [a2 / 100] %

    Correct Option: C

    Required increment = 2a + [a2 / 100] %
    = 2 x 25 + [(252)/100)] %
    = 50 + (625/100)%
    = 56.25%



  1. Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is









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    Area of rhombus =(d1 x d2)/2

    Correct Option: A

    Area of rhombus =(d1 x d2)/2
    =(1 x 1.5)/2 m2
    = 0.75 m2