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Small rectangular sheets of length $$\frac{2}{3}$$ units and breadth $$\frac{3}{5}$$ units are available. These sheets are assembled and pasted in a big cardboard sheet, edge to edge and made into a square. The minimum number of such sheet required is
Correct Answer: 90
Scale the dimensions by $$15$$, so each rectangle has dimensions $$10\times9$$. To form a square using whole rectangles, the smallest square side compatible with both dimensions is $$90$$ in the scaled units. It requires $$\frac{90}{10}\times\frac{90}{9}=9\times10=90$$ sheets.
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