Problem 61074. Height of a four-pointed star polygon

Given the area A, of a rectangle with dimensions l1xl2, where the side lengths are integers and form the smallest possible perimeter, and given the total area A_t of the star polygon formed by the rectangle and four triangles (cf. the figure below), with height, h, from their bases to the apices, find the vector [l1 l2 h] such that l1<l2.
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100.0% Correct | 0.0% Incorrect
Last Solution submitted on Nov 21, 2025

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