The area of a square field is 5184metr e square. A rectangular field , whose length is twice its breadth , has its perimeter of the square f

Question

The area of a square field is 5184metr e square. A rectangular field , whose length is twice its breadth , has its perimeter of the square field . Find the area of rectangular field ? ​

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Cora 1 month 2021-08-19T21:34:35+00:00 1 Answer 0 views 0

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    2021-08-19T21:36:34+00:00

    Let the breadth be x.

    So, the length is 2x

    Given:

    Area of square field= 5184m²

    Perimeter of rectangle= area of square field = 5189.

    To find:

    The area of rectangular field=?

    \huge\tt\green{Solution:-}

    Perimeter of square=2(l+b)

    5184=2(2x+x)

    =>5184=4x+2x

    =>5184=6x

    or

    =>6x=5184

    =>x=5184/6

    x=>864m.

    2x=>2(864)=>1728m.

    Area of rectangle = l×b

    =>1728×864

    =>1492992.

    Hence, the area of rectangular field is 1492992m².

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