Answer:
![2√(58)](https://img.qammunity.org/2021/formulas/mathematics/college/v1h2amtby69u2cu5f23pp82aaxezjnvfza.png)
Explanation:
the diagonal of a rectangle is the same as the hypotenuse of a right triangle. So we already have two sides of this right triangle the short side being 6 in and the long side being 14. We can use the pythagorean theorem to solve.
![a^2+b^2=c^2\\14^2+6^2=232\\c^2=232\\c=2√(58)](https://img.qammunity.org/2021/formulas/mathematics/college/faimaj96yb567n798ukl3r6yo3qsp5493b.png)