Question

mrs. washingtons rectangular dining - room floor is 16 feet by 20 feet. she wants to buy a rug that is geometrically similar to her dining - room floor, so she uses her knowledge of transformations to determine what size rug will be ideal for her dining room. which of the following rug dimensions corresponds to a rug that mrs. washington would want?
a. 8 feet by 12 feet
b. 10 feet by 14 feet
c. 12 feet by 15 feet
d. 14 feet by 18 feet

Explanation:

Step1: Find the ratio of the sides of the dining - room floor

The ratio of the sides of the dining - room floor with dimensions 16 feet by 20 feet is $\frac{16}{20}=\frac{4}{5}$.

Step2: Check the ratios of the sides of each option

For option A: $\frac{8}{12}=\frac{2}{3}
eq\frac{4}{5}$.
For option B: $\frac{10}{14}=\frac{5}{7}
eq\frac{4}{5}$.
For option C: $\frac{12}{15}=\frac{4}{5}$.
For option D: $\frac{14}{18}=\frac{7}{9}
eq\frac{4}{5}$.

Answer:

C. 12 feet by 15 feet