The perimeter of quadrilateral B is 12.
Explanation
Quadrilateral A has side lengths as 6, 9, 9 and 12. In quadrilateral B, length of the shortest side is 2.
As quadrilateral B is a scaled copy of quadrilateral A, so the scale factor will be...
(Shortest side of B / Shortest side of A) [tex]=\frac{2}{6}=\frac{1}{3}[/tex]
Now the remaining side lengths for quadrilateral B will be.....
[tex](9*\frac{1}{3}) , (9*\frac{1}{3})[/tex] and [tex](12*\frac{1}{3})[/tex]
⇒ 3 , 3 and 4
Thus, the perimeter of quadrilateral B is [tex]= 2+3+3+4= 12[/tex]
