Question

A metal rod is placed in a rectangular box as shown in the figure. How long is the rod? Round your answer to the nearest tenth of an inch, if necessary.

A. 5.0 in. B. 12.1 in. C. 13.4 in. D. 14.2 in.

Answer 1

fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5

now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B