SOLUTION: Dear Algebra.com, I don't know if this is your sort of thing, but here goes. How do I cut a square (of fabric) to re-shape it as a rectangle? Specifically, where the length o

Question 1060667: Dear Algebra.com,
I don't know if this is your sort of thing, but here goes.
How do I cut a square (of fabric) to re-shape it as a rectangle? Specifically, where the length of the rectangle is 3x the height. Tan squares can be made into rectangles, but that involves a lot of small pieces so is not suitable for fabric.
I've tried using graph paper but lack visual imagination, and could really use a formula for repeated rectangle-production. Googling 'make square into rectangle' etc produces mostly hits on how to turn a rectangle into a square. Is there really no formula to do the reverse?
Thank you for any help!
Kath
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
I understand now you want one square to become one rectangle. The "problem" with this type of problem is it doesn't lend itself to a formula. Many geometric manipulations also assume the reader is just doing a square to rectangle or vice versa, on paper. Its a totally different situation when you are cutting a piece of fabric and rearranging it. Unfortunately, it is a class of problems I rarely consider so my brain is a little rusty.
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I can say this much: If you did manage to use all of the fabric, the rectangle would have to have the following dimensions:
-
Given the square is h x h then the rectangle will have dimensions
and
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I also noticed that web searches for "square to rectangle" seems to only give web sites that show "rectangle to square"
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There is this one website that shows how to go from a 16x9 rectangle to a 12x12 square (which can be easily reversed):
https://www.quora.com/How-can-we-make-a-16*9-rectangle-from-a-12*12-square-with-one-cut-only
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I finally had time to revisit this problem, here is a method that works for and it is posted in my lessons area.

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