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let the sides of the square be S, the length of the rectangle will be 2S and the width will be S-3.
Area of square=S*S
Area of the rectangle= 2S(S-3)=2S^2-6S
but the areas are equal, therefore, 2S^2-6S=S^2
S(S-6)=0, meaning that S=0 or S-6=0, but S cannot be 0, therefore S-6=0; S=6
the dimensions of the rectangle are length=2(6)=12 and width S-3=6-3=3
area of rectangle is 3*12= 36 square units
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