document.write( "Question 168097This question is from textbook Hall Mercer Intermediate Algebra
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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.\r
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document.write( "I have tried W^2 - 3/4W^2 = 28
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document.write( "Also W^2 - (W-1/4)^2=28\r
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document.write( "Mainly need help on setting up. I am alright after the problem is set up into a math problem rather than a word problem.
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document.write( "Thanks \n" );
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Algebra.Com's Answer #123877 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "LOOKS TO ME LIKE YOU ARE RIGHT ON WITH THE FIRST TRY!!!!!!\r \n" ); document.write( "\n" ); document.write( "Let W=width of entire square \n" ); document.write( "Then 0.75W=width of the blue square\r \n" ); document.write( "\n" ); document.write( "Area colored red would be width of entire square minus width of blue square, or: \n" ); document.write( "Area colored red=W^2-0.75W^2 and we are told that this equals 28 sq m, so, our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "W^2-0.75W^2=28 or \n" ); document.write( "0.25W^2=28 divide each side by 0.25 \n" ); document.write( "W^2=112 sq m take square root of each side \n" ); document.write( "W=plus or minus 10.6 m disregard negative value for W \n" ); document.write( "W=10.6 m \n" ); document.write( "0.75W=0.75*10.6=7.95 m \n" ); document.write( "CK \n" ); document.write( "112-84=28 \n" ); document.write( "28=28\r \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " |