document.write( "Question 65956: The length of a rectangular playing field is 5 ft less than twice its width.
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document.write( "If the perimeter of the playing field is 230 ft, find the length and width of the field.
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Algebra.Com's Answer #46709 by chitra(359)![]() ![]() You can put this solution on YOUR website! Let \"l\" be the lenght of the field \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"b\" be the breadth of the rectangular field. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Given that the perimeter of the field is 230ft.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, given that the lenght of the field is 5ft less than twice its width. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "l = 2b - 5 and b = b \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The perimeter is given by 2l + 2b\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, 2l + 2b = 230 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(2b - 5) + 2b = 230 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4b - 10 + 2b = 230 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Adding like terms, we get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6b - 10 = 230 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6b = 230 + 10 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6b = 240 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> b = 40 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, substitute this value in the equation for l. We get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "l = 2b - 5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "l = 2(40) - 5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "l = 80 - 5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "l = 75 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the solution.\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( " |