Two garden plots are to have the same area. One is square and one is rectangular. The rectangular plot is 4 meters wide and 16 meters long.

Question

Two garden plots are to have the same area. One is square and one is rectangular. The rectangular plot is 4 meters wide and 16 meters long. How large is one side of the square garden plot in meters?

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    2021-09-10T08:26:28+00:00

    side = 8 m

    the area of the rectangle = length × width = 16 × 4 = 64 m²

    the area of the square = s² ( where s is the length of a side ), hence

    s² = 64 ( since areas are equal )

    take the square root of both sides

    s = √64 = 8 m

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