Question

Kaitlyn runs on a triangular track in a local park. On Saturday, she runs one lap around track BAC. The length of each path on this track is shown in meters (m) in the diagram below.

Triangles ABC and DEF. AB measures 22 m. DE measures 11 m. DF measures 9 m. EF measures 13 m.

If track DEF is similar in shape to track BAC, how many meters, rounded to the nearest tenth, would Kaitlyn run in one lap on track BAC? Type the numeric answer only in the box below.

Numerical Answers Expected!

Answer for Blank 1:

Answer 1

66m

Answer 2

Since triangle BAC is similar to triangle DEF,
BA/DE=AC/EF=BC/DF

Therefore, AC=26 and BC=18.
Add 22+26+18 and you get 66m.