Question

problem 2
rectangle a measures 8 inches by 2 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. 40 inches by 10 inches
b. 10 inches by 2.5 inches
c. 9 inches by 3 inches
d. 7 inches by 1 inch
e. 6.4 inches by 1.6 inches

Explanation:

Step1: Find the ratio of sides of Rectangle A

The ratio of the longer - side to the shorter - side of Rectangle A is $\frac{8}{2}=4$.

Step2: Check the ratios of each option

Option A

The ratio of the sides is $\frac{40}{10}=4$.

Option B

The ratio of the sides is $\frac{10}{2.5}=4$.

Option C

The ratio of the sides is $\frac{9}{3}=3
eq4$.

Option D

The ratio of the sides is $\frac{7}{1}=7
eq4$.

Option E

The ratio of the sides is $\frac{6.4}{1.6}=4$.

Answer:

A. 40 inches by 10 inches, B. 10 inches by 2.5 inches, E. 6.4 inches by 1.6 inches