The ratio between length and breadth of a field is 10 : 6. The area of the field is 3840m². Find the difference between the length

The ratio between length and breadth of a field is 10 : 6. The area of the field is 3840m². Find the difference between the length and width of the field.​

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2 thoughts on “The ratio between length and breadth of a field is 10 : 6. The area of the field is 3840m². Find the difference between the length”

  1. Answer:

    32 m

    Step-by-step explanation:

    Let us assume that, the length of a rectangle is 10x m and the breadth of a rectangle is 6x m respectively.

    As we know that

    → Area of rectangle = length * breadth

    → 3840 = 10x * 6x

    → 3840 = 60x²

    → x² = 3840/60

    → x² = 384/6

    → x² = 64

    → x = √64

    → x = 8

    Therefore,

    → Length of a rectangle = 10x

    → Length of a rectangle = 10 * 8

    → Length of a rectangle = 80 m

    → Breadth of a rectangle = 6x

    → Breadth of a rectangle = 6 * 8

    → Breadth of a rectangle = 48 m

    Now,

    The difference between the length and width of the rectangular field :

    → Length – Breadth

    → 80 – 48

    → 32

    Hence, the difference between the length and width of the rectangular field are 32 m.

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