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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?

User Jzafrilla
by
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1 Answer

10 votes

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 (
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.

User Avi Meir
by
7.2k points