13 yd x 3.25yd 4.23yd

use proportions to find the missing side length x in the two similar figures

To solve for the missing side length x using proportions, we can set up the following proportion:

13 yd / 3.25 yd = x / 4.23 yd

Let's solve for x using cross-products:

13 yd * 4.23 yd = 3.25 yd * x

55.29 yd² = 3.25 yd * x

Now we can solve for x by dividing both sides by 3.25 yd:

55.29 yd² / 3.25 yd = x

x ≈ 17 yd (rounded to the nearest yard)

Therefore, the missing side length x is approximately 17 yards.