To the nearest tenth of a foot, how long must a board be to cover the diagonal of the square deck shown at the left?

The boards on the surface of an outdoor deck are often placed at a 45° angle for decorative appeal. The hypotenuse of a 45°-45°-90° right triangle is found by multiplying the length of a leg by2.

To the nearest tenth of a foot, how long must a board be to cover the diagonal of the square deck shown at the left?
A . 11.9
B . 12.6
C . 13.2
D . 13.8
E . 14.1

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Answer: E