Question

the figures are similar, and the ratio of the perimeters is 2 : 5. find x.
x = \square

Explanation:

Step1: Relate side ratio to perimeter ratio

For similar figures, the ratio of corresponding side lengths equals the ratio of their perimeters. The given perimeter ratio (small to large) is $\frac{2}{5}$, so $\frac{x}{8} = \frac{2}{5}$.

Step2: Solve for x using cross-multiplication

Multiply both sides by 8 to isolate x:
$x = 8 \times \frac{2}{5}$
$x = \frac{16}{5} = 3.2$

Answer:

$3.2$ (or $\frac{16}{5}$)