document.write( "Question 1172033: A rectangular pool has dimensions 100m x 200m. Surround the entire pool is a concrete deck (border) of
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document.write( "uniform width. The area of the pool is twice the area of the concrete deck. Using an algebraic solution,
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document.write( "find the width of the concrete deck. Round all answers to 2 decimal places. \n" );
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Algebra.Com's Answer #796949 by Alan3354(69443) You can put this solution on YOUR website! A rectangular pool has dimensions 100m x 200m. Surround the entire pool is a concrete deck (border) of \n" ); document.write( "uniform width. The area of the pool is twice the area of the concrete deck. Using an algebraic solution, \n" ); document.write( "find the width of the concrete deck. \n" ); document.write( "-------------- \n" ); document.write( "Area of pool = 100*200 = 20000 sq meters ---- A big pool \n" ); document.write( "w = width \n" ); document.write( "Area of deck + pool = (100+2w)*(200+2w) = 30000 \n" ); document.write( "(50+w)*(100+w) = 7500 \n" ); document.write( "w^2 + 150w + 5000 = 7500 \n" ); document.write( "w^2 + 150w - 2500 = 0 \n" ); document.write( "Solve for w, ignore any negative solutions \n" ); document.write( " |