Side by side, they would form a rectangle. From part-side touching part-side through to corner to corner, they would form a shape somewhat like a figure of eight. There are other possibilities - eg corner of one touching the side of the other.
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Square No, in general they are six rectangles. Only in special cases would they be squares.
Well, honey, if you slap those two sections together, you'd end up with one big ol' shape, now wouldn't you? It's like putting two puzzle pieces together to make a bigger picture. So, to answer your question, the larger shape would be a combination of the two sections fitting snugly side by side.
There can be no such object since it is always possible to create an identical shape and then the two shapes would be congruent.
A shape with five sides would be a pentagon, but a shape can not have 5 right angles. Squares and Rectangles are both shapes with 4 sides and 4 right angles. They are the only shape with the same amount of right angles as there is sides.
That depends on how big you want the squares to be