Answer the following word problem?
As part of Black History Month in February, an artist is creating a mural on the side of a building. A painting of Dr. Martin Luther King, Jr., will occupy the center of the mural and will be surrounded by a border of uniform width showing other prominent African-Americans. The side of the building is 50 feet wide by 30 feet high, and the artist wants to devote 25% of the available space to the border. What should the width of the border be?
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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.
You first need to find the area of the space the artist is painting on. Then you must multiply it by .25 (25%) to get your percentage of the area for the border. Yes, it would be helpful to draw a picture. Simply sketch a rectangle, label the sides and draw how the border would look if it was filling up 25%.
hopefully this helps(:
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