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in the diagram, $rstu \\sim abcd$. find the ratio of their perimeters. …

Question

in the diagram, $rstu \sim abcd$. find the ratio of their perimeters.
the ratio of their perimeters is $\square : \square$.

Explanation:

Step1: Identify corresponding sides

Corresponding sides: $RS = 18$, $AB = 24$

Step2: Find similarity ratio

$\text{Ratio} = \frac{RS}{AB} = \frac{18}{24} = \frac{3}{4}$

Step3: Relate to perimeter ratio

For similar figures, perimeter ratio = similarity ratio, so $3:4$

Answer:

$3:4$