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1992 AIME Question 10

AIME · 1992 AIME

Question 10

Consider the region $A$ in the complex plane that consists of all points $z$ such that both $\frac{z}{40}$ and $\frac{40}{\overline z}$ have real and imaginary parts between $0$ and $1,$ inclusive. What is the integer that is nearest the area of $A?$