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

Question

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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Brielle 3 months 2021-07-25T18:40:44+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-25T18:42:01+00:00

    By using the required fоrmulа, аnd substituting аll the given vаlues in the fоrmulа, we get:

    → Аreа оf seсtоr

    = 60/360 × 22/7 × (7)²

    → Аreа оf seсtоr

    = 6/36 × 22/7 × 7 × 7

    → Аreа оf seсtоr

    = 1/6 × 22/7 × 7 × 7

    → Аreа оf seсtоr

    = 1/6 × 22 × 7

    → Аreа оf seсtоr

    = 1/3 × 11 × 7

    → Аreа оf seсtоr

    = 1/3 × 77

    → Аreа оf seсtоr

    = 77/3

    → Аreа оf seсtоr

    = 25.66

    → Аreа оf seсtоr

    ≈ 26. (аррrоx.)

    Henсe, the аreа оf seсtоr is 26сm², орtiоn (с) is соrreсt.

    0
    2021-07-25T18:42:39+00:00

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

    Given :

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

    To Find :

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

    Solution :

    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

    oo

    = 3840 = 60x²

    – x2 = 3840/60

    → x² = 384/6

    – x² = 64

    – x = V64

    = x = 8

    Therefore,

    = Length of a rectangle = 10x

    = Length of a rectangle = 10 * 8

    » Length of a rectangle = 80m

    – Breadth of a rectangle = 6x

    – Breadth of a rectangle = 6 * 8 =48m.

    Now,

    The difference between the length and width

    of the rectangular field :

    Length – Breadth

    80 – 48

    32m.

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