Aship 90 meters long is floating on an even keel at 6 m draft. the half-ordinates, commencing from forward, are as follows: 0, 4.88, 6.71, 7.31, 7.01, 6.40, and 0.9 m respectively. the half-ordinates 7.5 meters from bow and stern are 2.13 and 3.35 m respectively. the change in draft if 153 tonnes of cargo are loaded with its center of gravity vertically over the center of flotation. find the water plane area (wpa); and lcf from the aft perpendicular.