document.write( "Question 779240: A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?\r
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document.write( "I know that the area of the path is 93, but what do I do with that??? \n" );
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Algebra.Com's Answer #475148 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway? \n" ); document.write( "-------- \n" ); document.write( "Draw a rectangle within a rectangle. \n" ); document.write( "The dimensions of the inner rectangle are 12 by 16 meters \n" ); document.write( "The dimensions of the outer rectangle are 12+2x by 16+2x \n" ); document.write( "-------- \n" ); document.write( "Equations: \n" ); document.write( "(12+2x)(16+2x) = 285 sq. meters \n" ); document.write( "----- \n" ); document.write( "4(6+x)(8+x) = 285 \n" ); document.write( "4[x^2 + 14x + 48) = 285 \n" ); document.write( "----- \n" ); document.write( "x^2 + 14x + 48 = 71.25 \n" ); document.write( "---- \n" ); document.write( "x^2 + 14x - 23.25 = 0 \n" ); document.write( "----- \n" ); document.write( "x = 1.5 ft is the width of the pathway. \n" ); document.write( "-------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |