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APMOPS 2011 Question 22

APMOPS · APMOPS 2011

Question 22

The greatest number of points of intersection of the grid lines that the diagonal of a rectangle with area $12\text{ cm}^2$ can pass through is 3 as shown. Find the greatest possible number of points of intersection that the diagonal of a rectangle with area $432\text{ cm}^2$ can pass through.

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