As shown in the figure, the area ratio of triangle ABC to triangle ade is 3:4, and the area of triangle ABF is 10 square centimeter larger than that of triangle FCE

Because the area ratio of triangle ABC to triangle ade is 3:4, so AB: de = 3:4, then AB: CE = 3:1, because triangle ABF is similar to triangle FCE, and the similarity ratio is 3:1, then their area ratio is 9:1, 9 + 1 = 10, so the sum of triangle ABF and triangle FCE area is: 10 △ 810 = 12

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