Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of A with its shortest side of length 2. What is the perimeter of B?

Step-by-step 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