Answer: 15cm by 20cm
3cm by 4cm
9cm by 12cm
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