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Mensuration Test - 2

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Mensuration Test - 2
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  • Question 1
    1 / -0

    The breadth of a rectangle is 3 cm less than its length. If its perimeter is 18 cm, what is the ratio of breadth (b) to length (ℓ)?

    Solution

    Given: b = ℓ – 3
    Now,
    Perimeter = 2 (ℓ + b)
    18 cm = 2 (ℓ + ℓ – 3 cm)
    18 cm = 2 (2ℓ – 3 cm)
    18 cm = 4ℓ – 6 cm
    24 cm = 4ℓ
    ∴ ℓ = 6 cm
    b = 3 cm
    Ratio of b to ℓ = 3 cm : 6 cm = 1 : 2

  • Question 2
    1 / -0

    Sheela took 4 rounds of a regular hexagon–shaped field with each side measuring 5 m. What is the total distance covered by her?

    Solution

    Perimeter of the field = 6 ×  side
    = 6 ×  5m = 30 m
    ∴ Total distance covered = 30 ×  4
    = 120 m

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