Frank owns an entire block, which happens to be a perfectly square piece of land. one corner of the block is in the intersection of Slauson ave. and carmelita. because of development in the area, the city of huntington park wants to widen slauson ave. by 3 feet by shrinking franks block. however, the city offers to compensate frank by adding 3 feet to the carmelita side of his property. is the fair deal?

Question

Isaiah Haas

Mathematics

28 September, 11:12

Frank owns an entire block, which happens to be a perfectly square piece of land. one corner of the block is in the intersection of Slauson ave. and carmelita. because of development in the area, the city of huntington park wants to widen slauson ave. by 3 feet by shrinking franks block. however, the city offers to compensate frank by adding 3 feet to the carmelita side of his property. is the fair deal?

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Lainey Ochoa · Answer 1

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.