document.write( "Question 1112: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 600 square meters, what is the width of the path?
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Algebra.Com's Answer #345 by khwang(438)![]() ![]() ![]() You can put this solution on YOUR website! Let the width of the path be x meters,the combined width and length would \n" ); document.write( " be 10+2x and 20+2x. \n" ); document.write( " So we have \n" ); document.write( " (10 + 2x) (20+2x) = 600, \n" ); document.write( " Divided both sides by 4: \n" ); document.write( " (x+5)(x + 10) = 150, \n" ); document.write( " Multiply out the left hand side and simplify: \n" ); document.write( " x^2+ 15 x -100 = 0, \n" ); document.write( " Factor: \n" ); document.write( " (x+20) (x-5) = 0 \n" ); document.write( " So, x = 5 or x = -20 (negative,invalid)\r \n" ); document.write( "\n" ); document.write( " Answer: 5 meters. \n" ); document.write( " |