Question

rectangle x measures 16 in by 12 in. rectangle y is a scaled copy of rectangle x. select all of the measurement pairs that could be the dimensions of rectangle y. a 18 in by 14 in b 48 in by 24 in c 12 in by 9 in d 4 in by 3 in e 68 in by 51 in

Explanation:

Step1: Find the ratio of the sides of Rectangle X

The ratio of the sides of Rectangle X is $\frac{16}{12}=\frac{4}{3}$.

Step2: Check the ratio for each option

• Option A: $\frac{18}{14}=\frac{9}{7}

eq\frac{4}{3}$.

• Option B: $\frac{48}{24} = 2

eq\frac{4}{3}$.

• Option C: $\frac{12}{9}=\frac{4}{3}$.
• Option D: $\frac{4}{3}$.
• Option E: $\frac{68}{51}=\frac{4}{3}$.

Since the sides of a scaled - copy must have the same ratio as the original rectangle, options C, D, and E are correct.

Answer:

C. 12 in by 9 in, D. 4 in by 3 in, E. 68 in by 51 in