Question

parallelogram p
what is the value of r?
parallelogram q

Explanation:

Step1: Identify similar - side ratio

Since the two parallelograms are similar, the ratios of corresponding sides are equal. The ratio of the side of length 26 in parallelogram P to the side of length 52 in parallelogram Q is $\frac{26}{52}=\frac{1}{2}$.

Step2: Calculate the value of r

The side of length 13 in parallelogram P corresponds to side r in parallelogram Q. Using the ratio $\frac{1}{2}$, we have $\frac{13}{r}=\frac{1}{2}$. Cross - multiplying gives $r = 26$.

Answer:

26