Question 1197300
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Clearly, no. 

If A = L*W then if you double L and double W, you get: 
 (2L)*(2W) = 4(L*W) = 4*A (i.e. four times the original area).

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If the new swimming pool shape is similar to the old one, then L and W can be scaled by {{{sqrt(2)}}} to achieve a doubling of the area:
{{{ (sqrt(2)) * L }}} * {{{(sqrt(2))*W }}} = {{{ 2*L*W }}} = {{{2*A}}}