Question

A painting measures 15 cm long by 24 cm high. You buy two posters, each showing an enlargement of the painting. The first poster measures 45 cm long by 72 cm high. The second poster measures 97.5 cm long by 156 cm high. Which of the following is true? (Hint: To be an accurate representation of the painting, would the the poster be similar to the painting?)

Answer 1

So, the ratio is 15:24
45:72 divided by 3 is 15:24, so the 1st one is good.
then 97.5:156 156/24 is 6.5 and 97.5/15 is 6.5. SO both are accurate.

Answer 2

Both posters are accurate representations of the painting.

Explanation:

As you can see in the length and height of both posters they have the same aspect ratio than the original painting. You can see that the original painting has a 5:8 aspect ratio, meaning that for every 5 cm of lenght the height will be 8 cm long.

So you just have to make the division:

`(5)/(8) =(45)/(72)`

`0,625=0,625`

As the division is equal, the ratio is the same on the first poster and the original.

In the second it would be like this:

`(5)/(8) =(97.5)/(156)`

`0,625=0,625`

As the fractions are equal, the second poster has the same aspect ratio as the original, so both posters are accurate representations of the painting.