A square garden has an area of 441 m^2.if the path of uniform width surrounding inside the garden is 216m^2,find the width of the path

Question

A square garden has an area of 441 m^2.if the path of uniform width surrounding inside the garden is 216m^2,find the width of the path

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Allison 2 weeks 2021-11-18T05:27:04+00:00 1 Answer 0 views 0

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    2021-11-18T05:28:34+00:00

    Answer:

    Area of a square garden = 2, 500 m².

    Length of the side of the garden =  √2,500 = 50 m.

    Width of the path = 2.5 m.

    Path is inside the garden.

    Width of the garden that is inside (enclosed) by the path:

             50 – 2 * 2.5 = 45 m.

    Length of the garden inside by the path :  = 45 m.

    So the area of garden inside the path = 45 * 45 m²

          = 2, 025 m².

    Area of the path = 2, 500 – 2, 025 

         = 475 m².

    Cost of laying the path = Rs 25 /m² * 475 m²

        = Rs 11, 875.

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