Frank owns an entire block, which is a perfectly square piece of land. One corner of the block is at the intersection of Slauson Ave. and Carmelita. Due to development in the area, the city of Huntington Park wants to widen Slauson Ave. by 3 feet by shrinking Frank's block. However, the city offers to compensate Frank by adding 3 feet to the Carmelita side of his property. Is this a fair deal?
Answer (2)
No. The fair is not deal. That would leave the perimetet of his property unchanged but it would reduce the area. For a given perimeter, the rectangle with the greatest area is the square, and the value of land is related to the area.
The city’s proposal to reduce Frank's block by 3 feet on one side while adding 3 feet on the other side results in a loss of area. Although the perimeter remains unchanged, the value of his property will likely decline due to this area reduction. Thus, the deal is not fair for Frank.
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