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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

Sagot :

ollieboyne
So originally, let's say the width of Frank's land was [tex]x[/tex] feet.

The area of his land was therefore [tex]x \times x[/tex], or [tex]x^2[/tex], 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:

[tex](x+3)(x-3)\\=x^2+3x-3x-9\\=x^2-9[/tex]

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

Hope this helps :)
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