2019 Math Kangaroo Levels 9-10 Problem #29

2019 Math Kangaroo Levels 9-10 Problem #29 29. Given triangle ABC of area S, let D be the midpoint of BC. Take points P, Q, R on lines AB, AD, AC, respectively, as shown in the picture, and such that AP = 2 ∙ AB, AQ = 3 ∙ AD and AR = 4 ∙ AC. What is the area of triangle PQR? (A) 𝑆 (B) 2𝑆 (C) 3𝑆 (D) 1/2 𝑆 (E) 0 (i.e. 𝑃, 𝑄, 𝑅 are collinear) Thank you for watching and please like, comment, and subscribe!