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Calculate area lost due to expansion of roads in mountainous terrain

Question asked by deepikagprasad on Jul 2, 2019

I am trying to find out the area of land that is lost due to the expansion of an existing road in mountainous terrain. Suppose, the road width needs to be increased from 40 ft to 80 ft, how do I go about calculating the area of land lost to this road. I am sure the additional 40 ft expansion doesn't mean 400 sq ft if the length of the road were to be 10 ft in mountainous terrain. Any leads on how I can calculate this?