Question

abcd ~ fecg
y = ?

Explanation:

Step1: Use property of similar polygons

For similar polygons, the ratios of corresponding - sides are equal. $\frac{AB}{FE}=\frac{AD}{FG}$.

Step2: Substitute known values

We know $AB = 5$, $FE = 6$, $FG = 4$, and $AD=y$. So $\frac{5}{6}=\frac{y}{4}$.

Step3: Solve for y

Cross - multiply: $6y = 5\times4=20$. Then $y=\frac{20}{6}=\frac{10}{3}$.

Answer:

$\frac{10}{3}$