Question

the quadrilaterals abcd and pqrs are similar. find the length x of rs.

Explanation:

Step1: Set up proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. We can set up the proportion $\frac{BC}{QR}=\frac{CD}{RS}$. Substituting the known values, we have $\frac{5}{3}=\frac{4}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $5x = 4\times3$.

Step3: Solve for x

$5x=12$, then $x=\frac{12}{5}=2.4$.

Answer:

$2.4$