Dividing rectangle into hexagon

I want to divide a rectangle into hexagonal shapes.

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Fixed size hexgons? Variable sized with a fixed number of them? Pack in as many as possible out of a list of sizes? Touching or not touching? Is this an Optimal Packing question, one of those tricks where for certain ratios you need to rotate the normal hex grid layout by 30 degrees because that permits you to fit in two extra hexagons?
I want fixed size hexagons which should be packed in the rectangle .

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