Use proportions to find the missing side length (x) in the two similar figures.
Figure 1 has a side of 13 yd. and x
Figure 2 has a side of 3.25 yd. and 4.23 yd.
We can set up a proportion using the corresponding sides of the two similar figures:
$\frac{x}{13} = \frac{4.23}{3.25}$
To solve for x, we can cross-multiply:
$3.25x = 13 \cdot 4.23$
Divide both sides by 3.25:
$x = \frac{13 \cdot 4.23}{3.25}$
$x \approx 16.94$ yd.
Therefore, the missing side length (x) in Figure 1 is approximately 16.94 yards.