Geometry

 

    The perimeter of a rectangle is 24 inches. What is the number of inches in the maximum diagonal for this rectangle?     

 

    It will have the longest diagonal when you scrunch it down to a long, narrow figure.

    Assuming integer lengths, the dimensions are 11 x 1 of this long, narrow rectangle.

 

    Diagonal  =  sqrt(11² + 1²)     

                    =  sqrt(122)     

                    =  11.045     

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