document.write( "Question 275335: the house plans are 60 x 70 you decrease both length and width by the same amount, the area is 3696. so how much are the both decreased by? i need to know how to solve it. \n" ); document.write( "
Algebra.Com's Answer #200888 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the house plans are 60 x 70 you decrease both length and width by the same amount, the area is 3696. \n" ); document.write( " so how much are the both decreased by? i need to know how to solve it. \n" ); document.write( ": \n" ); document.write( "Let x = amt decreased \n" ); document.write( ": \n" ); document.write( "(60 - x) * (70 - x) = 3696 \n" ); document.write( "FOIL \n" ); document.write( "4200 - 60x - 70x + x^2 = 3696 \n" ); document.write( "Arrange as a quadratic equation \n" ); document.write( "x^2 - 130x + 4200 - 3696 = 0 \n" ); document.write( ": \n" ); document.write( "x^2 - 130x + 504 = 0 \n" ); document.write( "(x - 126)(x - 4) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "x = 126 \n" ); document.write( "and \n" ); document.write( "x = 4, this is the solution that makes sense, \n" ); document.write( ": \n" ); document.write( "The new dimensions: 56 by 66 \n" ); document.write( ": \n" ); document.write( "Check the area 56 * 66 = 3696 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |