document.write( "Question 1185241: The area of a rectangular garden is 140m2.If its length is 4m more than its width,find the dimensions. \n" ); document.write( "
Algebra.Com's Answer #816031 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the area is equal to 140 square meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area is equal to length * width.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let L equal the length and W equal the width.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you ge t:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L * W = 140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the length is 4 meters longer than the width, the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(W + 4) * W = 140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W^2 + 4W = 140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 140 from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W^2 + 4W - 140 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factor this quadratic equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(W + 14) * (W - 10) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "set each factor equal to 0 and solve for x to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W = -14 or W = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since W has to be positive, the value of W must be equal to 10.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "confirm this is correct by replacing W with 10 in the original equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get (W + 4) * (W) = 120 which becomes: \n" ); document.write( "14 * 10 = 140 \n" ); document.write( "since this is true, the value of W = 10 is confirmed to be good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rectangle has a length of 14 and a width of 10.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |