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You have twelve matchsticks of unit length. As laid out below, they form a square of area 4 square-units. But those four inside the figure are "wasted" - they contribute nothing. All you have are matches of the same length and a flat surface to place them on. You do have the native ability to lay matches next to each other in straight lines and to make right angles between matches. You do not have a ruler in match-length units, nor do you have a protractor. You can't break the matches into halves or more complicated fractions. And of course, these are theoretical matchsticks - line-segments with only length and no breadth. |