Question

1. rectangle a measures 12 cm by 3 cm. rectangle b is a scaled copy of rectangle a. select all of the measurement pairs that could be the dimensions of rectangle b. a. 6 cm by 1.5 cm b. 10 cm by 2 cm c. 13 cm by 4 cm d. 18 cm by 4.5 cm e. 80 cm by 20 cm

Explanation:

Step1: Find the ratio of sides of Rectangle A

The ratio of the sides of Rectangle A is $\frac{12}{3}=4$. For a scaled - copy, the ratio of the sides of Rectangle B should be the same.

Step2: Check each option

Option A

The ratio of the sides is $\frac{6}{1.5}=4$.

Option B

The ratio of the sides is $\frac{10}{2}=5
eq4$.

Option C

The ratio of the sides is $\frac{13}{4}=3.25
eq4$.

Option D

The ratio of the sides is $\frac{18}{4.5}=4$.

Option E

The ratio of the sides is $\frac{80}{20}=4$.

Answer:

A. 6 cm by 1.5 cm, D. 18 cm by 4.5 cm, E. 80 cm by 20 cm