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The length and breadth of a rectangle are in the ratio 3:2. If the area of the
rectangle is 216sq.m, then find the length of

By Adalyn

The length and breadth of a rectangle are in the ratio 3:2. If the area of the
rectangle is 216sq.m, then find the length of the rectangle and also find
the perimeter.

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2 thoughts on “The length and breadth of a rectangle are in the ratio 3:2. If the area of the<br /> rectangle is 216sq.m, then find the length of”

  1. Step-by-step explanation:

    Let the dimensions of the Rectange be x

    Area of Rectangle = l × b

    216 m^2 = 3x × 2x

    216 m^2 = 6x^2

    216/6 = x^2

    36 = x^2

    6 = x

    Length = 3x = 3 × 6 = 18

    Breadth = 2x = 2 × 6 = 12

    Perimeter of Rectangle = 2 ( l + b )

    Perimeter of Rectangle = 2 ( 18 + 12 )

    Perimeter of Rectangle = 2 × 30

    Perimeter of Rectangle = 60 m

    Hope it helps!!

    Reply

  2. Answer :-

    Let the length be 3x and breadth be 2x.

    We know that,

    Area = Length × Breadth

    Substituting the values :-

    → 216 = 3x × 2x

    → 216 = 6x²

    → x² = 216 / 6

    → x² = 36

    → x = 6

    • Length = 6 × 3 = 18 m
    • Breadth = 6 × 2 = 12 m

    → Perimeter = 2 ( Length + Breadth )

    → P = 2 ( 18 + 12 )

    → P = 2 ( 30 )

    → P = 60

    Perimeter of rectangle = 60 m

    Reply

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