Now we have the dimensions of the side of the building
given as 50 feet by 30 feet.
The border will be uniformly
placed around the central painting. Now let us assume that a fraction x of the total
width and height are used as the border. The artist wants to devote 25% of the available
space to the border.
So (50/x)*(30/x) =
50*30*(1/4)
=> 50*30/x^2 =
50*30/4
=> 1/x^2 =
1/4
=> 1/x = 1/2
So the
width of the border is 50/2 = 25 ft
The
required width of the border around the painting is 25
ft.
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