Question

A 12 cm by 16 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportional (ratios which are equivalent) in size. The dimensions of several paintings are shown. Which paintings' dimensions are proportional to the original painting? Select all that apply.
A. 6 cm by 12 cm
B. 15 cm by 20 cm
C. 3 cm by 4 cm
D.6 cm by 9 cm
E. 9 cm by 12 cm​

Answer 1

Answer: 15cm by 20cm

3cm by 4cm

9cm by 12cm

Step-by-step explanation:

From the question, we are informed that a 12 cm by 16 cm painting hangs in a museum. We are given several options and told to choose the paintings' dimensions that are proportional to the original painting. This will be:

12cm by 16cm when divided by 4 gives 3cm by 4cm. This means that we have to look out for the options that are in the ratio 3:4.

A. 6 cm by 12 cm

6cm by 12cm reduced to lowest term gives 1:2

B. 15 cm by 20 cm

15cm by 20cm reduced to lowest term gives 3:4

C. 3 cm by 4 cm

D.6 cm by 9 cm

6cm by 9cm reduced to lowest term gives 2:3.

E. 9 cm by 12 cm

9cm by 12cm reduced to lowest term gives 3:4.

Therefore the correct options are:

15cm by 20cm

3cm by 4cm

9cm by 12cm