Injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and right sides. The area of the square is 128 square feet. What is the length of the track? Use the table to help you answer the questions. Square
11.02
11.12
11.22
11.32
11.42
11.52
11.62
11.72
11.82
11.92
12.02
Value
121.0
123.2
125.4
127.7
130.0
132.3
134.6
136.9
139.2
141.6
144.0
1. Fill in the blanks to complete the description of the track.
The track has sides of the square and the distance around complete circle(s).
2. The length of one side of the square is the square root of its area. Use the table to find the approximate length of one side of the square. Explain how you used the table to find this information.
3. Use your answers above to find the total length of the part of the track that is made up of sides of the square.

4. The circumference of (distance around) a circle is π times the diameter, or C = πd. A side of the square is the diameter of each half circle. π = 3.14
In your answer to question 1, you gave the number of complete circles included in the track. Use this answer and C = πd to find the approximate length of the circular part of the track to the nearest tenth of a foot. Use 3.14 for π and show your work.
5. Find the approximate length of the track, including the straight and circular