SAT Question 6708546e: Area and Volume answer and explanation with Desmos solution

Choice C is correct. It's given that parallelogram $ABCD$ is similar to parallelogram $PQRS$. When two parallelograms are similar, if the scale factor between their corresponding side lengths is $k$, the scale factor between their areas is $k^2$. It's given that the length of each side of parallelogram $PQRS$ is $2$ times the length of its corresponding side of parallelogram $ABCD$, so the scale factor between their corresponding side lengths is $2$. It follows that the scale factor between their areas is $2^2$, or $4$. It's given that the area, in square centimeters, of parallelogram $ABCD$ is $5$. It follows that the area, in square centimeters, of parallelogram $PQRS$ is $5(4)$, or $20$.