The bottom of a carton without cover is a square with an area of 100cm & sup2; and the height is 15cm. Put a wooden stick in the carton and the stick is 2cm out of the carton The bottom of a carton without cover is a square with an area of 100cm & sup2; and the height is 15cm. Put a wooden stick in the carton and the stick is 2cm out of the carton. Calculate the value range of the total length of the stick.

The bottom of a carton without cover is a square with an area of 100cm & sup2; and the height is 15cm. Put a wooden stick in the carton and the stick is 2cm out of the carton The bottom of a carton without cover is a square with an area of 100cm & sup2; and the height is 15cm. Put a wooden stick in the carton and the stick is 2cm out of the carton. Calculate the value range of the total length of the stick.

If it is placed along the longest diagonal, the length of the stick: root [10 & sup2; + 10 & sup2; + (15 + 2) & sup2;]
If it is placed along the height of the carton, the length of the stick is 15 + 2
The value range of the length of this stick is: root sign [10 & sup2; + 10 & sup2; + (15 + 2) & sup2;] ≥ x ≥ 17