Let's make a diagram to represent the problem
To find the length of the track, we have to find the circumference of both semi-circles, which form 1 circle
[tex]C=\pi d=3.14\cdot48\approx150.72m[/tex]Then, we add both lengths of the rectangle.
[tex]P=150.72+96+96=342.72m[/tex]Now, we have to find the area of the circle and the area of the rectangle
[tex]\begin{gathered} A_{\text{circle}}=\pi(r)^2\approx3.14\cdot(24m)^2\approx1,808.64m^2 \\ A_{\text{rectangle}}=l\cdot w=96m\cdot48m=4,608m^2 \end{gathered}[/tex]Then, we add the areas
[tex]A_{\text{track}}=1,808.64m^2+4,608m^2=6,416.64m^2[/tex]