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    The areas of a rectangular garden and a square garden are equal. If the length and thebreadth of the first garden are 32 m and 8 m, then find the peri
    Question

    The areas of a rectangular garden and a square garden are equal. If the length and thebreadth of the first garden are 32 m and 8 m, then find the perimeter of the squaregarden.

    A.

    62 m

    B.

    52 m

    C.

    56 m

    D.

    64 m

    Correct option is D

    Given:

    Length of the rectangular garden = 32 m

    Breadth of the rectangular garden = 8 m

    Area of the rectangular garden = Area of the square garden

    Formula Used:

    Area of rectangle = Length × Breadth

    Area of square = (Side)2 

    Perimeter of square = 4 × Side

    Solution: 

    Area of rectangle = Area of square

    32 × 8 = (Side)2 

    Side = 256=16 m\sqrt{256} = 16 \, \text{m}​​

    Perimeter of the square garden:

    Perimeter = 4 × 16 = 64 m

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