document.write( "Question 674518: The width of a rectangle is 1 foot shorter than half the length. If the perimeter of the rectangle is 64 feet find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #419295 by jokaehler(26)![]() ![]() You can put this solution on YOUR website! With this question, break down the sentence into bits and pieces.\r \n" ); document.write( "\n" ); document.write( "\"The width of a rectangle is...\"\r \n" ); document.write( "\n" ); document.write( "w =\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"1 foot shorter than half the length.\"\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"If the perimeter of the rectangle is 64 feet...\" \r \n" ); document.write( "\n" ); document.write( "P = 64 \n" ); document.write( " (NOTE: Remember P = 2l + 2w)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Find the dimensions of the rectangle.\"\r \n" ); document.write( "\n" ); document.write( "Find \"l\" and \"w.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now that we have those, we piece it all together.\r \n" ); document.write( "\n" ); document.write( "w = \n" ); document.write( "\n" ); document.write( "P = 2l + 2w\r \n" ); document.write( "\n" ); document.write( "64 = 2l + 2( \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the distributive property.\r \n" ); document.write( "\n" ); document.write( "64 = 2l + l - 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms, and add two to both sides.\r \n" ); document.write( "\n" ); document.write( "66 = 3l\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 3.\r \n" ); document.write( "\n" ); document.write( "22 = l\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now that we have \"l,\" we can find \"w\" by plugging it into w = \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve.\r \n" ); document.write( "\n" ); document.write( "11 - 1 = 10\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "length = 22\r \n" ); document.write( "\n" ); document.write( "width = 10\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check your work.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 2l + 2w \n" ); document.write( "64 = (2 * 22) + (2 * 10) \n" ); document.write( "64 = 44 + 20 \n" ); document.write( "64 = 64 \n" ); document.write( " \n" ); document.write( " |