document.write( "Question 729606: Hi I need help on this question \r
\n" ); document.write( "\n" ); document.write( "Sasha is planning to put a patio around her new pool which has dimensions of 20m by 30m. she wants the patio to have a uniform width,x,and to surround the entire pool. Her budget is $6000 and she knows it will cost $10/m^2 to construct the patio. How wide can she afford for the patio to be? \n" ); document.write( "
Algebra.Com's Answer #446062 by nerdybill(7384)\"\" \"About 
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Sasha is planning to put a patio around her new pool which has dimensions of 20m by 30m. she wants the patio to have a uniform width,x,and to surround the entire pool. Her budget is $6000 and she knows it will cost $10/m^2 to construct the patio. How wide can she afford for the patio to be?
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\n" ); document.write( "Let x = width of patio
\n" ); document.write( "then
\n" ); document.write( "area of \"pool and patio\" is:
\n" ); document.write( "(2x+20)(2x+30)
\n" ); document.write( "4x^2+60x+40x+600
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\n" ); document.write( "our equation:
\n" ); document.write( "10((2x+20)(2x+30)- (20)(30))= 6000
\n" ); document.write( "10(4x^2+60x+40x+600 - 600)= 6000
\n" ); document.write( "10(4x^2+100x)= 6000
\n" ); document.write( "(4x^2+100x)= 600
\n" ); document.write( "4x^2+100x-600 = 0
\n" ); document.write( "x^2+25x-150 = 0
\n" ); document.write( "x^2+25x-150 = 0
\n" ); document.write( "(x+30)(x-5) = 0
\n" ); document.write( "x = {-30, 5}
\n" ); document.write( "throw out the negative solution (extraneous) leaving
\n" ); document.write( "x = 5 m
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