document.write( "Question 1186295: Sarah needs to make a garden plot which has an area less than 18ft².the length should be 3ft longer than the width.What are the possible dimensions of the garden plot? \n" ); document.write( "
Algebra.Com's Answer #817189 by ikleyn(52943) You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "w = the width, in feet.\r\n" ); document.write( "\r\n" ); document.write( "(w+3) ft, the length.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The area INEQUALITY\r\n" ); document.write( "\r\n" ); document.write( " w*(w+3) <= 18 ft^2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Transform to the standard quadratic inequality form\r\n" ); document.write( "\r\n" ); document.write( " w^2 + 3w - 18 <= 0\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Factor left side\r\n" ); document.write( "\r\n" ); document.write( " (w+6)*(w-3) <= 18 \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The solution is -6 <= w <= 3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Due to obvious physical reason, the possible values of the width w must satisfy\r\n" ); document.write( "this inequality\r\n" ); document.write( "\r\n" ); document.write( " 0 <= w <= 3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The width of the garden must satisfy this inequality 0 <= w <= 3 ft. The length should be (w+3) ft.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved and explained in all details.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Happy learning ( ! )\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |