Question

1. t = ______ m

Explanation:

Step1: Assume the two polygons are similar.

Since they are similar, the ratios of corresponding sides are equal.

Step2: Set up the proportion.

We can set up the proportion $\frac{20}{25}=\frac{36}{45}=\frac{8}{t}$. Using the first - two ratios to confirm the similarity ratio $\frac{20}{25}=\frac{4}{5}$ and $\frac{36}{45}=\frac{4}{5}$. Then from $\frac{8}{t}=\frac{4}{5}$.

Step3: Cross - multiply to solve for $t$.

Cross - multiplying gives $4t = 8\times5$. So $4t=40$.

Step4: Solve for $t$.

Dividing both sides by 4, we get $t = 10$.

Answer:

$10$