MathCastle
Grade 6SuperchallengeArea of Triangles

Area of Triangles · Superchallenge problem

Triangle ABCABC has an area of 9090 square cm. Point DD is on side ABAB with ADAD one third of ABAB. Point EE is on side ACAC with AEAE two thirds of ACAC. Cutting along DEDE splits the triangle into triangle ADEADE and a four-sided piece DBCEDBCE. What is the area of DBCEDBCE, in square centimeters?