Answers:
- Area of figure 2 = 150 square cm
- WX = 25/6 cm (exact)
- WX = 4.167 (approximate)
It's not clear which version of WX your teacher wants, so I provided both of them.
============================================================
Explanation:
Focus on the perimeters. The jump from 36 to 30 means the linear scale factor is 30/36 = 5/6
This means,
WX/YZ = 5/6
WX/5 = 5/6
6WX = 5*5
6WX = 25
WX = 25/6 which is exact
WX = 4.167 approximately
---------------
The linear scale factor is 5/6, so the area scale factor is (5/6)^2 = 25/36.
The area of figure 1 is 216 cm^2, making the area of figure 2 to be 216*(25/36) = 150 cm^2
