The answer is irregular
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That is not true. A rhombus is irregular but does have equal sides. Any shape with equal sides - other than an equilateral triangle - can be distorted so that its angles are not equal. That is enough to make it irregular, even though the sides remain of the same length.
There is no specific name for such shapes.
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a shape with 5 equal sides is a pentagon
Depends, what shape are you talking about? Is it a triangle with no equal sides?
Any regular shaped polygon has equal angles and equal sides
A shape with 4 equal sides is a rhombus. If it also has 4 equal angles, then it is a square.
It is an IRREGULAR shape.