When the two free endpoints are 0.414213… (sqrt(2) - 1) away from the lower left / upper right corner respectively, the shaded area will be at a maximum, which will be exactly 3.5 - sqrt(8), or 0.67157…, a little over two thirds.
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When the two free endpoints are 0.414213… (sqrt(2) - 1) away from the lower left / upper right corner respectively, the shaded area will be at a maximum, which will be exactly 3.5 - sqrt(8), or 0.67157…, a little over two thirds.