<PRE><B>Question 413058</B>
Half the perimeter of the rectangle is greater.


The diagonal cuts the rectangle in half and makes 2 right triangles out of it.


in a right triangle, the sum of the 2 legs of the triangle is always greater than the hypotenuse.


the diagonal of the rectangle is the hypotenuse of the 2 right triangles formed by it.


consider a 3,4,5 right triangle (common one).


c^2 = a^2 + b^2 means 5^2 = 3^2 + 4^2 means 25 = 9 + 16 = 25.


3 + 4 is greater than 5 (sum of 2 legs is greater than the hypotenuse).

</PRE>