A farmer owns a square parcel of land, on which the longest straight-line distance he can travel between any two points

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A farmer owns a square parcel of land, on which the longest straight-line distance he can travel between any two points on his property is \(4\) kilometers. If he purchases the land immediately to the north of his property, and if that land is the same width east to west but twice as long north to south, how many square kilometers of property would he then own?

A. \(16\)
B. \(16\sqrt2\)
C. \(24\)
D. \(24\sqrt2\)
E. \(48\)

Answer: C

Source: Veritas Prep