A concrete column measuring $10$ x $10$ inches supports a load of $160,000$ lbs$.$ If you plan to support this column with a square concrete footing resting on soil that can resist $100$ lb$/$sq$.$ inch $($including an appropriate safety factor$),$ what is the dimension of the footing $($f$)($inches$).$ Calculate the dimension f to the nearest inch $($see the figure below$).$ If your calculated answer is $22\mathrm{.}13$ inches enter $22.$ If you are within $+/-5\%$ of the correct answer you well receive full credit. Bonus Question