A proposed square footing carrying a total load of 500 kips is to be constructed on a uniform thick deposit of dense cohesionless soil. The soil's unit weight is 135 pcf, and its angle of internal friction is 38 degrees. The depth of the footing is to be 5 feet. Determine the dimension of this proposed footing, using a factor of safety of 3. feet, i.e. answer 2 for 2'x2') (input square dimension in