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# Geometry

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A rectangle has a perimeter of 30 units and its dimensions are whole numbers. What is the maximum possible length of the diagonal of the rectangle?

Oct 11, 2021

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What is the maximum possible length of the diagonal of the rectangle?

Hello Guest!

The longest diagonal is given when the small side of the rectangle measures 1 unit, namely

$$\sqrt{1^2+14^2}\approx14.036\ units.$$

!

Oct 11, 2021