Question

1. 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 sides of Rectangle X

The ratio of the sides of Rectangle X is $\frac{16}{12}=\frac{4}{3}$. For Rectangle Y (a scaled - copy of X), the ratio of its sides should also be $\frac{4}{3}$.

Step2: Check option A

For 18 in by 14 in, the ratio is $\frac{18}{14}=\frac{9}{7}
eq\frac{4}{3}$.

Step3: Check option B

For 48 in by 24 in, the ratio is $\frac{48}{24} = 2
eq\frac{4}{3}$.

Step4: Check option C

For 12 in by 9 in, the ratio is $\frac{12}{9}=\frac{4}{3}$.

Step5: Check option D

For 4 in by 3 in, the ratio is $\frac{4}{3}$.

Step6: Check option E

For 68 in by 51 in, the ratio is $\frac{68}{51}=\frac{4}{3}$.

Answer:

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