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rectangulars fit in one rectangularDear, I'm trying to find to right equations for the following problem: I have one big rectangular with fixed dimensions (lenght = a ; width = b). I have 10 other rectangulars with variable dimensions (for example x1= lenght of first rectangle, y1 = width of first rectangle). What is the formula to see if the 10 rectangulars will fit in the big one. Note: all 10 may be turned and combined with the others. Thanks in advance and with kind regards |

Re: rectangulars fit in one rectangularHello, PGO! Quote:
This is an extremely complex problem . . . with no simple formula. It depends on the dimensions of the the big rectangle [color=beige]. . [/color] the dimensions of the ten small rectangles.andSo we must consider twenty-two possible variables.[color=beige]. . . [/color] Good luck!Obviously, the combined areas of the ten small rectangles cannot exceed the area of the big rectangle. [color=beige]. . [/color] Even then, we are not sure if the ten small rectangles will actually in the big one.fitSuppose we had one each of the following ten rectangles: [color=beige]. . [/color] If the big rectangle is: , we be able to fit in the 10 rectangles.mightIf the big rectangle is: , it is impossible. (The won't fit, of course.) |

Re: rectangulars fit in one rectangularHi, Thanks for your reply! Indeed the combined surfaces of the small rectangulars can't exceed the big one. However, we did not yet solve the problem of the other equations :) |

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