Geometry problem-The Great Coffee Chase

Although R19 and R20 are adjacent, with the entry doors being on opposite sides of the block it is not clear who has the shortest route to the morning coffee. Is it Mr Atkins in R19 or Mr Corney in R20?

Your group must solve this very important problem by completing the following tasks:

1) Define the specific problem (i.e. start and finish points) and estimate who has the shortest journey. 

2) Describe fully using a scale diagram and appropriate transformations (translation, rotation, enlargement, reflection)

3) Write a conclusion that illustrates your findings.

Extension:

Use the online version of Scratch to plot the journey's of each teach. Use accurate transformation that represent the real journey.