lanes of the oval merge with the straightaway and the stratight away is on just one side of the track and the lanes are the same width.

Question

the six lanes of the oval merge with the ten lane straightaway and the stratight away is on just one side of the track. Lane width is the same for all lanes.

Answer 1

The dotted blue line shows the path of lane 6 to where the track goes from 6 lanes to 10 lanes.

2s+πd=300 (inner perimeter), s=½(300-πd).

Area of central plot=sd+πd²/4. 

Outer area=s(d+16l)+π(d+16l)²/4.

Track area=16ls+8πl(d+8l).

Substitute for s: 8l(300-πd)+8πl(d+8l)=2400l+64πl².

Plug in l=1.2: 2880+92.16π=3169.53 sq m=34116.5 sq ft. approx.