Question

1. 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 sides of Rectangle A is $\frac{8}{2}=4$. For Rectangle B (a scaled - copy of A), the ratio of its sides should also be 4.

Step2: Check each option

Option A

$\frac{40}{10}=4$, so it could be the dimensions of Rectangle B.

Option B

$\frac{10}{2.5}=4$, so it could be the dimensions of Rectangle B.

Option C

$\frac{9}{3}=3
eq4$, so it could not be the dimensions of Rectangle B.

Option D

$\frac{7}{1}=7
eq4$, so it could not be the dimensions of Rectangle B.

Option E

$\frac{6.4}{1.6}=4$, so it could be the dimensions of Rectangle B.

Answer:

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