Answer:
12
Explanation:
If the Quadrilateral A has side lengths 6, 9, 9, and 12 respectively and Quadrilateral B is a scaled copy of A with its shortest side of length 2, then to determine the scale used, we will find the ratio of the shortest side of quadrilateral A to that of quadrilateral B as shown;
ratio of shortest side
B:A = 2:6 = 1:3
This means that the quadrilateral B is 3 times smaller than A.
To find the perimeter of quadrilateral B, we will add all the side length of A and divide by 3 to get the perimeter of quadrilateral A by 3 as shown;
Perimeter of quadrilateral B = (Perimeter of quadrilateral A)/3
Perimeter of quadrilateral A = 6+9+9+12
Perimeter of quadrilateral A = 36
Perimeter of quadrilateral B = 36/3
Perimeter of quadrilateral B = 12
Hence the perimeter of quadrilateral B is 12