Final answer:
The perimeter of quadrilateral WXYZ can be found by setting up a proportion between the corresponding side lengths of FGHJ and WXYZ. By multiplying each side length of FGHJ by the scale factor, we can determine the side lengths of WXYZ. Adding these side lengths will give us the perimeter.
Step-by-step explanation:
Quadrilateral FGHJ is similar to quadrilateral WXYZ. Since FJ=24 and WZ=34, we can set up a proportion to find the scale factor between the two quadrilaterals.
The scale factor is found by dividing the lengths of corresponding sides: 24/34 = 12/17.
To find the remaining side lengths of WXYZ, we multiply each side length of FGHJ by the scale factor.
The side lengths of WXYZ are therefore: 12 * (12/17), 30 * (12/17), 18 * (12/17), and 24 * (12/17).
We can sum up these side lengths to find the perimeter of WXYZ.
Hence, the perimeter of quadrilateral WXYZ is approximately 71.529 meters.