Triangle ABC is an equilateral triangle, D is the midpoint of side AB, de and BC are perpendicular, and the area of triangle BDE is 5 square centimeters. Find the area of triangle ABC

Triangle ABC is an equilateral triangle, D is the midpoint of side AB, de and BC are perpendicular, and the area of triangle BDE is 5 square centimeters. Find the area of triangle ABC

Let the intersection of AF and BC be f, then the bottom and height of △ ABF are twice that of △ BDE, and the area of △ ABC is 4 times that of △ BDE, so the area of △ ABC is 8 times that of △ BDE, and the result is 40