A rectangular field is 16m broad and the ratio of the length and breadth is 3:2. 1.find the length of the field 2.find the peri

A rectangular field is 16m broad and the ratio of the length and breadth is 3:2.
1.find the length of the field
2.find the perimeter of the field
3.find the area of the field.

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  1. Answer:

    x = length of the rectangle = 24 m

    Perimeter of the field = 80 m

    Area of the field = 384 square meter

    Step-by-step explanation:

    Width of the rectangle = 16 m

    Ratio of the length and width = 3:2

    Let

    x = length of the rectangle

    Ratio of the length and width = x : 16

    Equate both ratios

    x : 16 = 3 : 2

    x/16 = 3/2

    Cross product

    x * 2 = 16 * 3

    2x = 48

    x = 48/2

    x = 24

    x = length of the rectangle = 24 m

    Perimeter of the field = 2(length + width)

    = 2(24 m + 16 m)

    = 2(40 m)

    = 80 m

    Perimeter of the field = 80 m

    Area of the field = length × width

    = 24 m × 16 m

    = 384 m²

    Area of the field = 384 square meter

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