Question

these polygons are similar. solve for x.
14
8
x
8
4
14
x = ?

Explanation:

Step1: Set up similarity proportion

Since the polygons are similar, their corresponding sides are proportional. So we set up the ratio of corresponding sides:
$\frac{x}{14} = \frac{4}{8}$

Step2: Simplify the right-hand ratio

Reduce the fraction $\frac{4}{8}$ to its simplest form:
$\frac{4}{8} = \frac{1}{2}$

Step3: Solve for x

Multiply both sides of the equation by 14 to isolate x:
$x = 14 \times \frac{1}{2}$

Answer:

7