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Answer:90 cm^2Step-by-step explanation:The scale factor between triangle ABC and triangle PQR is 4:6 or  2:3The scale factor is 2/3When relating areas, we use the scale factor squaredArea of ABC = scale factor squared * Area of PQR40 =  (2/3) ^2 Area of PQR40  =4/9 Area of PQRMultiply each side by 9/440 *9/4 = 9/4 *4/9 * Area of PQR90 = Area of PQRWhen we work with lengths of similar figures, we multiply by the scale factor.When we work with areas of similar figures, we have a length and a width, so we are really multiplying by the scale factor two times, or the scale factor squared.A = l*wA = SF (l) * SF (w)   = SF ^2 lwSo the area of the new  figure is the scale factor squared times the area of the old figure.A new = SF^2 A oldTo get from the old figure to the new figure we multiply by 6/4 or 3/2A new =  (3/2)^2 (40)A new = 9/4 * 40            = 90