document.write( "Question 256203: Polynomial word problems help!\r
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document.write( "A cement walk of uniform width surrounds a rectangular swimming pool that is 10 m wide and 50 m long. Find the width of the walk it its area is 864 m^2. \n" );
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Algebra.Com's Answer #188373 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! First draw a rectangle and label it 10m on the length and 50m on the width. \n" ); document.write( "Second draw a rectangle around the pool and place an x to the left and right of the 10 and above and below the 50. \n" ); document.write( "step 1 - area of pool. \n" ); document.write( "A = LW = 10*50 = 500 \n" ); document.write( "step 2 - area of pool + walkway = 864 \n" ); document.write( "(i) A = \n" ); document.write( "(ii) A = \n" ); document.write( "(iii) A = \n" ); document.write( "setting = 0, we get \n" ); document.write( "(iv) \n" ); document.write( "dividing by 4 and then factoring, we get \n" ); document.write( "(vi) \n" ); document.write( "So, \n" ); document.write( "x = 6 or x = -36. \n" ); document.write( "width of the walk is 6m. \n" ); document.write( " |