Which of the following best approximates the percent by which the distance from A to C along a diagonal of square ABCD reduces the distance from A to C around the edge of square ABCD? Select the correct option:
A) 30%
B) 43%
C) 45%
D) 50%
E) 70%
let the sides be 2 units.   original distance=2+2= 
<gadget id="calculator">2+2</gadget>
<output>4</output>
4 units   changed distance=2sq.root2   %change=change dist.-original dist./original dist.   =(2sq.root 2-4)/4==-.2955   reduced by ~30%   30%ns 30%
<result>A</result>
Which of the following best approximates the percent by which the distance from A to C along a diagonal of square ABCD reduces the distance from A to C around the edge of square ABCD?