The figures are similar. The ratio of the perimeters is $7: 10$. Find $x$.
\[
x=\square
\]
So, the final answer is \( x = \boxed{7} \).
Step 1 :Define the ratio of the perimeters as \( \frac{7}{10} \).
Step 2 :Define the side of the larger figure as 10.
Step 3 :Calculate \( x \) by multiplying the ratio of the perimeters with the side of the larger figure, which gives \( x = 0.7 \times 10 \).
Step 4 :So, the final answer is \( x = \boxed{7} \).