Answer:
[tex]Scale\ factor=23.33\ miles/inch\\\\Length\ of\ Indiana\approx 268.3\ miles[/tex]
Step-by-step explanation:
Scale factor: [tex]Scale\ factor=\frac{actual\ width}{width\ in\ the\ map}[/tex]
[tex]Actual\ width\ of\ Indiana=140\ miles\\\\Width\ of\ Indiana\ in\ the\ map=6\ inches\\\\Scale\ factor=\frac{Actual\ width\ of\ Indiana}{Width\ of\ Indiana\ in\ the\ map}\\\\Scale\ factor=\frac{140\ miles}{6\ inches}\\\\Scale\ factor=23.33\ miles/inch\\\\1\ inch=23.33\ miles[/tex]
[tex]Length\ of\ Indiana=scale\ factor\ times length\ in\ the\ map\\\\Length\ of\ Indiana=23.33\times 11.5\approx 268.3\ miles[/tex]
