SAT Question 9fec9d49: Area and Volume answer and explanation with Desmos solution

Choice A is correct. It's given that the length of each side of a scale model is $\frac{1}{10}$ times the length of the corresponding side of the actual floor of a ballroom. Therefore, the area of the scale model is ${\left(\frac{1}{10}\right)}^2$, or $\frac{1}{100}$, times the area of the actual floor of the ballroom. It's given that the area of the floor of the ballroom is $600$ square meters. Therefore, the area, in square meters, of the scale model is $\left(\frac{1}{100}\right)\left(600\right)$, or $6$.