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MathNet 2023-part-02 — 191 problems (EN–VI) Question 124

Math Olympiad Vault · MathNet 2023-part-02 — 191 problems (EN–VI)

Question 124

Find the number of rectangles satisfying the following properties:
(α) Their vertices are points $(x, y)$ of the plane $Oxy$, with $x, y$ non-negative integers and $x \le 8$, $y \le 8$.
(β) Their sides are parallel to the axes.
(γ) Their area $E$ satisfies: $30 \lt E \le 40$.