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Mensuration Test - 2

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Mensuration Test - 2
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Weekly Quiz Competition
  • Question 1
    1 / -0

    If side of a square is doubled, then the area of the square becomes ____________ times the original area.

    Solution

    Let side of square be x.

    Area = x2

    If side is doubled = 2x

    New area = (2x)2 = 4x2

    Therefore, the new area is 4 times the original area.

     

  • Question 2
    1 / -0

    Area of a square is numerically double than its perimeter. What is the length of its side, if the area is 400 cm2?

    Solution

    Let side be x.

    Perimeter = 4x

    According to question,

    400 = 2 x perimeter

    400 = 8 x

    x = 50 cm

     

  • Question 3
    1 / -0

    There are 96 square tiles which make up the floor of the hall in a wedding palace. If the perimeter of each tile is 8 m, what is the area of the floor of the hall?

    Solution

    Perimeter of each square tile = side x number of sides
    8 = side x 4
    8 ÷ 4 = side
    side = 2 m

    Area of each tile = side2

    = 22

    = 4 m2

    Area of 96 tiles on the floor = 4 x 96

    = 384 m2

     

  • Question 4
    1 / -0

    How much length of a ribbon is required to cover the sides of a photograph of size 51.75 cm x 41 cm?

    Solution

    Perimeter of the picture = 2 (51.75 cm + 41 cm)

    = 2 X 92.75 = 185.5 cm

    So 185.5 cm of ribbon is required.

     

  • Question 5
    1 / -0

    A swimming pool of area 1176 m2 has length of 42 m. What is the breadth of this pool?

    Solution

    Area = length X breadth
    1176 = 42 X breadth
    Breadth = 1176 ÷ 42 = 28 m

     

  • Question 6
    1 / -0

    Find the number of tiles needed to cover a plot with length and breadth as 4.45 m and 3.20 m, respectively, if the size of one tile is 20 cm by 20 cm.

    Solution

    Area of plot = 4.45 × 3.20 m2

    or 445 × 320 cm2 = 1,42,400 cm2

    Area of tile = 20 × 20 = 400 cm2

    Number of tiles = 142400 ÷ 400 = 356

     

  • Question 7
    1 / -0

    How many paper slips of size 36 cm by 24 cm can be cut from a big sheet of paper of size 360 cm by 84 cm?

    Solution

    Area of big sheet = 360 X 84 = 30,240 cm2

    Area of paper slip = 36 X 24 = 864 cm2

    Number of slips that can be cut = 30240 ÷ 864 = 35

     

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