MathCastle
Grade 6SuperchallengeArea of Triangles

Area of Triangles · Superchallenge problem

A triangle has corners (0,0)(0, 0), (16,0)(16, 0) and (8,8)(8, 8). The flat lines y=2y = 2, y=4y = 4 and y=6y = 6 cut it into four pieces: a small triangle at the top and three strips below it. The bottom strip (between y=0y = 0 and y=2y = 2) has how many times the area of the small top triangle?