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How about a rectangle, parallelogram or a kite
No because then it would be a square or a rectangle but a kite's diagonals meet at right angles.
You have to do this. We can't make your Venn diagram for you.
Same as a square, except the kite only occupies half the space. (Draw a picture if you have to.) So, 6x8 = 48, divided by two is 24 [sq. cm]
A rhombus or a kite are two 4 sided quadrilaterals that have no square corners.