The figure shows a square metal plate of side \( l \) from which a square plate of side \( a \) ...

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The figure shows a square metal plate of side \( l \) from which a square plate of side \( a \) has been cut as shown in the figure. Find the ratio \( (a / l) \) so that the centre of mass of the remaining \( \mathrm{L} \)-shaped plate coincides with the point \( A \).
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