Question

An original oil painting measures 55" x 55". The artist wants to produce prints that are 2.5 times smaller than the original painting. What will be the side length, in inches, of the prints?

Answer 1

The side length of the prints is approximately 34.785 inches.

Explanation:

First, we have to calculate the area of the original oil painting (
`A`), measured in square inches, by the following formula:

`A = l^(2)` (1)

Where
`l` is the length of the side, measured in inches.

And the length of the miniature is determine by means of reduction factor (
`k`), with no unit:

`(A)/(k) = l'^(2)` (2)

If we know that
`l = 55\,in` and
`k = 2.5`, then the side length of the miniatures is:

`l' = \sqrt{(l^(2))/(k) }`

`l' = (l)/(√(k))`

`l' = (55\,in)/(√(2.5))`

`l' \approx 34.785\,in`

The side length of the prints is approximately 34.785 inches.