Question

1. rectangle a measures 9 inches by 3 inches. rectangle b is a scaled copy of rectangle a. select all of the measurement pairs that could be the dimensions of rectangle b.

a. 4.5 inches by 1.5 inches
b. 8 inches by 2 inches
c. 10 inches by 4 inches
d. 13.5 inches by 4.5 inches
e. 90 inches by 30 inches

Explanation:

Step1: Find the ratio of the sides of Rectangle A

The ratio of length to width of Rectangle A is \(\frac{9}{3}=3\).

Step2: Check the ratios for each option

• Option A: \(\frac{4.5}{1.5}=3\)
• Option B: \(\frac{8}{2}=4

eq3\)

• Option C: \(\frac{10}{4}=2.5

eq3\)

• Option D: \(\frac{13.5}{4.5}=3\)
• Option E: \(\frac{90}{30}=3\)

Answer:

A. 4.5 inches by 1.5 inches, D. 13.5 inches by 4.5 inches, E. 90 inches by 30 inches