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Mensuration Test - 5

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Mensuration Test - 5
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Weekly Quiz Competition
  • Question 1
    1 / -0

    If the length of each side of an equilateral triangle is multiplied by 7, then the new perimeter is __ times the original perimeter.

    Solution

    Let the perimeter of the equilateral triangle be X.
    The new perimeter will be 7X.
    So, the new perimeter is 7 times the original perimeter.

     

  • Question 2
    1 / -0

    The area of a rectangular sheet is 425 cm2 and its breadth is 17 cm. Which of the following options is 4 times the length of the rectangle?

    Solution

    Area = L × B (L = length and B = breadth)
    B = 17
    425 = L × 17

    L = 425/17

    L = 25 cm
    4 times the length = 4 × 25 = 100 cm

     

  • Question 3
    1 / -0

    If the perimeter of a square is numerically equal to the area of a rectangle and the breadth of the rectangle is equal to the side of the square, then what is the length of the rectangle?

    Solution

    Perimeter of the square = Area of the rectangle
    4 x Side = Length × Breadth
    But, Breadth of the rectangle = Side of the square

    So,

    4 x Side = Length × Side
    Length = 4 units

     

  • Question 4
    1 / -0

    Find the ratio of the perimeter to the area of a square with side 12 cm.

    Solution

    Ratio of the perimeter to the area of the square = 4 × side/(side)2 = (4 × 12)/(12 × 12) = 4/12 = 1 : 3

     

  • Question 5
    1 / -0

    There is a garden with length 80.5 m and width 70 m. Find the perimeter of the fence required for fencing the garden.

    Solution

    Perimeter = 2(Length + Breadth)
    = 2(80.5 + 70)
    = 2 × 150.5
    = 301 m
    So, required length = 301 m

     

  • Question 6
    1 / -0

    The lid of a square box of side 40 cm is sealed all round with the tape. What is the length of the tape required if the lid is sealed 4 times?

    Solution

    Length of tape required = 4(perimeter of the lid) = 4(4 × 40) = 640 cm

     

  • Question 7
    1 / -0

    Find the number of tiles, each measuring 25 cm by 6 cm, which can cover a wall of dimensions 12 m by 8 m.

    Solution

    Area of a tile = 25 × 6 = 150 cm2
    Area of the wall (in cm) = 1200 × 800 = 9,60,000 cm2

    Number of tiles required = 9,60,000 ÷ 150
    = 6400

     

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