Problem 61076. Covering rectangle area of a four-pointed star polygon

Created by Luisa

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Given the four-pointed star polygon formed by the rectangle, with dimensions l1xl2, and four triangles, with height, h, from their bases to the apices, find the rectangle, with dimensions y1xy2, such that has the same area of the given star polygon, and covers the given rectangle (cf. figure below). Given x=[l1 l2 h], return y=[y1 y2].

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Last Solution submitted on Jan 15, 2026

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Dyuman Joshi on 26 Dec 2025 at 17:09

I seem to be missing something -
For test #2, x = [7 2 1];
I get [8.0000 2.8750];

For test #3, x = [5 2 1];
I get [6.0000 2.8333];

And for test #4, x = [7 9 1];
I get [8.0000 9.8750];

Why are these not acceptable answers?

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Problem 61076. Covering rectangle area of a four-pointed star polygon

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Problem 61076. Covering rectangle area of a four-pointed star polygon

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Last 200 Solutions

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Problem Recent Solvers7

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More from this Author15

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