SOLUTION: Al paints with watercolors on a sheet of paper 21 inches wide by 12 inches high. He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the p

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Question 52908: Al paints with watercolors on a sheet of paper 21 inches wide by 12 inches high. He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The perimeter of the mat is 98 inches. How wide is the strip of the mat showing around the picture?
Answer by venugopalramana(3286) About Me  (Show Source):
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Al paints with watercolors on a sheet of paper 21 inches wide by 12 inches high. He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The perimeter of the mat is 98 inches. How wide is the strip of the mat showing around the picture?
L OF PAPER = 21"
W OF PAPER =12"
LET WIDTH OF STRIP = X
L OF MAT =21+X+X = 21+2X
W OF MAT = 12+X+X=12+2X
PERIMETER OF MAT = 2(21+2X+12+2X)=66+8X=98
8X=98-66=32
X = 4"