Question

Frank owns an entire city 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 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?

Please help me

Answer 1

So originally, let's say the width of Frank's land was
`x` feet.

The area of his land was therefore
`x * x`, or
`x^2`, as his land was square.

The width of his land then increased by 3 feet, and the height decreased by 3 feet.

So the new area of Frank's land is:


`(x+3)(x-3)\\=x^2+3x-3x-9\\=x^2-9`

So the new land is now 9 square feet smaller, so it is not a fair deal for Frank.

Hope this helps :)