Question 16
There are 2 equal convex quadrilaterals made of paper: $ABCD$ and $A'B'C'D'$ ($AB = A'B'$, $BC = B'C'$, $CD = C'D'$, $DA = D'A'$). The quadrilateral $ABCD$ is cut along the diagonal $AC$ and the quadrilateral $A'B'C'D'$ is cut along the diagonal $B'D'$, thus obtaining four pieces of paper.
a) Indicates a procedure, that does not depend on the particular shape of the convex quadrilateral $ABCD$, that allows creating a parallelogram with the four pieces of paper.
b) If the sides of the quadrilaterals measure $3$, $3$, $4$ and $6$, it shows that the perimeter of the parallelogram is greater than $16$ and less than $28$, regardless of the order of the sides.
a) Indicates a procedure, that does not depend on the particular shape of the convex quadrilateral $ABCD$, that allows creating a parallelogram with the four pieces of paper.
b) If the sides of the quadrilaterals measure $3$, $3$, $4$ and $6$, it shows that the perimeter of the parallelogram is greater than $16$ and less than $28$, regardless of the order of the sides.