document.write( "Question 892090: Please help me with this word inequality problem, Algebra 1, Grade 8-\r
\n" ); document.write( "\n" ); document.write( "(Write an inequality and solve the problem algebraically):\r
\n" ); document.write( "\n" ); document.write( "The length of a rectangle is 5 times it's width. The perimeter of the rectangle is at most 104 meters. Find the greatest possible dimensions of this rectangle.
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Algebra.Com's Answer #540279 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
w for width
\n" ); document.write( "L for length\r
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\n" ); document.write( "\n" ); document.write( "\"L=5w\", and \"2w%2B2L%3C=104\".\r
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\n" ); document.write( "\n" ); document.write( "The perimeter equation is simplifiable to \"w%2BL%3C=52\".
\n" ); document.write( "Substitution for L gives \"w%2B5w%3C=52\".\r
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\n" ); document.write( "\n" ); document.write( "\"6w%3C=52\"
\n" ); document.write( "\"w%3C=52%2F6\"
\n" ); document.write( "\"highlight%28w%3C=26%2F3%29\". Note, the inclusive inequality is used because,
\n" ); document.write( "\"at most\", allows for the perimeter to be 104 meters.\r
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\n" ); document.write( "\n" ); document.write( "You can take the rule given for L and say w=L/5, and now try this substituted in the
\n" ); document.write( "perimeter inequality:
\n" ); document.write( "\"2%28L%2F5%29%2B2L%3C=104\" or \"L%2F5%2BL%3C=52\" and solve for L.
\n" ); document.write( "\"%286%2F5%29L%3C=52\"
\n" ); document.write( "\"L%3C=52%285%2F6%29\"
\n" ); document.write( "\"L%3C=26%2A5%2F3\"
\n" ); document.write( "\"highlight%28L%3C=130%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "Convert to mixed numbers if you want.
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