It is proposed to build an 8 story building with a foot printof 15 m X 20 m, resting on a mat foundation of the same dimensions, in a saturated clay where c, = 50 kN/m²,y = 19.0 kN/m³. Assume approximately 15 kN/m2 per floor for the live and dead loads. . At what depth would you place the mat to make this a fully compensated foundation? b. What should be the factor of safety if the mat is placed at3.0 m depth?