document.write( "Question 168149: This one has been answered but the answer does not make sense. I emailed the tutor and have not heard back. Will someone please take a look at this for me?
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\n" ); document.write( "\n" ); document.write( "A square mat has a uniform red border on all four sides. The rest of the mat is blue. The width of the blue square is three-fourths the width of the entire square. If the area colored red is 28 m squared, determine the lengths of each side of the mat.
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Algebra.Com's Answer #123922 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
lets call the length of the blue mat y and the width of the border x, which means the side of the entire area is y+2x\r
\n" ); document.write( "\n" ); document.write( "we also know that, y=(3/4)(y+2x)--->y=(3/4)y+(6/4)x--->1/4y=6/4x-->y=6x\r
\n" ); document.write( "\n" ); document.write( "since area of the red(28) is equal to entire area minus the blue area\r
\n" ); document.write( "\n" ); document.write( "we have \"%28y%2B2x%29%5E2-%28y%29%5E2=28\"\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2%2B4xy%2B4x%5E2-y%5E2=28\"--->\"4x%5E2%2B4xy=28\"\r
\n" ); document.write( "\n" ); document.write( "substitute value of y which is 6x into the equation\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B4%28x%29%286x%29=28\"---->\"28x%5E2=28\" \"x%5E2=1\"
\n" ); document.write( "\"x=1\"\r
\n" ); document.write( "\n" ); document.write( "y=6x(1)=6\r
\n" ); document.write( "\n" ); document.write( "so the sides of the entire area is y+2x --->\"highlight%286%2B2=8%29\" meters\r
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