Question 10
A gardener planted rows, which are represented by the solid segments shown in the diagram below, of high bushes in a park. First, he planted a row running 60 m east. Then from the end of that line he planted a row 60 m north, then 60 m west, 58 m south, 58 m east, 56 m north, 56 m west, and so on, where the lengths of the rows are reduced by 2 m after every two anti-clockwise 90-degree turns. This made a square spiral path which is 2 m wide. One day, Betty walked along the middle of the path starting from the entrance to the end, as represented by the thin dashed segments shown in the diagram below. What was Betty’s total walking distance, in m?
