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)\"\" \"About 
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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
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\n" ); document.write( "\n" ); document.write( "\"1 foot shorter than half the length.\"\r
\n" ); document.write( "\n" ); document.write( "\"+1%2F2+\" l - 1\r
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\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
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\n" ); document.write( "\n" ); document.write( "\"Find the dimensions of the rectangle.\"\r
\n" ); document.write( "\n" ); document.write( "Find \"l\" and \"w.\"\r
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\n" ); document.write( "\n" ); document.write( "Now that we have those, we piece it all together.\r
\n" ); document.write( "\n" ); document.write( "w = \"+1%2F2+\" l - 1\r
\n" ); document.write( "\n" ); document.write( "P = 2l + 2w\r
\n" ); document.write( "\n" ); document.write( "64 = 2l + 2(\"+1%2F2+\" l - 1)\r
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\n" ); document.write( "\n" ); document.write( "Use the distributive property.\r
\n" ); document.write( "\n" ); document.write( "64 = 2l + l - 2\r
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\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
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\n" ); document.write( "\n" ); document.write( "Divide both sides by 3.\r
\n" ); document.write( "\n" ); document.write( "22 = l\r
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\n" ); document.write( "\n" ); document.write( "Now that we have \"l,\" we can find \"w\" by plugging it into w = \"+1%2F2+\" l - 1.\r
\n" ); document.write( "\n" ); document.write( "\"+1%2F2+\" * 22 - 1\r
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\n" ); document.write( "\n" ); document.write( "Solve.\r
\n" ); document.write( "\n" ); document.write( "11 - 1 = 10\r
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\n" ); document.write( "\n" ); document.write( "length = 22\r
\n" ); document.write( "\n" ); document.write( "width = 10\r
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\n" ); document.write( "\n" ); document.write( "Check your work.\r
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\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
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