A rectangular field is 96m in length and 42m in breadth. A path of uniform width 3m runs immediately inside its boundary. Find the

A rectangular field is 96m in length and 42m in breadth. A path of uniform width 3m runs immediately inside its boundary. Find the cost of gravelling the path at RS.32 per square meter.

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2 thoughts on “A rectangular field is 96m in length and 42m in breadth. A path of uniform width 3m runs immediately inside its boundary. Find the”

  1. Length of garden =90m

    Breadth of garden =75m

    Width of path =5m

    Outer length =100m(90+5+5)

    Outer breadth =85m(75+5+5)

    Area of path = area of outer rectangle – area of inner rectangle

    ⇒(100⋅85)−(90⋅75) ⇒8500−6750=1750m2

    Hence, area of rectangle 1= 1750 m^21 Now,

    1hec=2592m2

    Area of path in hec=1752592=675

    Area of garden in hec=67502592=2.604

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  2. [tex]❥\huge\red{\underline{{\bf A}}}\huge\orange{\underline{{\bf n}}}\huge\green{\underline{{\bf s}}}\huge\blue{\underline{{\bf w}}}\huge\purple{\underline{{\bf e}}}\huge\pink{\underline{{\bf r}}}[/tex]

    [tex]Length \: of \: garden =90m [/tex]

    Breadth of garden =75m

    Width of path =5m

    Outer length =100m(90+5+5)

    Outer breadth =85m(75+5+5)

    Area of path = area of outer rectangle – area of inner rectangle

    ⇒(100⋅85)−(90⋅75) ⇒8500−6750=1750m2

    Hence, area of rectangle 1= 1750 m^21 Now,

    1hec=2592m2

    Area of path in hec=1752592=675

    Area of garden in hec=67502592=2.604

    Reply

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