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…

Question

asked Dec 7, 2022 212k views

1 Answer

Avi Meir · Answer 1 · 2022-12-12T23:57:09+0000

Answer:

The side length of the prints is approximately 34.785 inches.

Explanation:

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

A = l^(2) (1)

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

And the length of the miniature is determine by means of reduction factor (
), 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.