document.write( "Question 762202: A square lawn is bounded on 3 sides by a path 4 meter wide. If the area of the path is 7/8 that of the lawn, find the dimensions of the lawn. \n" ); document.write( "
Algebra.Com's Answer #463784 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
A drawing really helps with this problem. \r
\n" ); document.write( "\n" ); document.write( "Using s = the side length of the square lawn,\r
\n" ); document.write( "\n" ); document.write( "Area of just the lawn = \"s%5E2\"
\n" ); document.write( "Area of path plus lawn = \"%28s%2B4%29%28s%2B2%2A4%29\"
\n" ); document.write( "Area of ONLY the path = \"%28s%2B4%29%28s%2B2%2A4%29-s%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "AND using the 7/8 information, \"highlight%28%28s%2B4%29%28s%2B2%2A4%29-s%5E2=%287%2F8%29s%5E2%29\"
\n" ); document.write( "Solve for s, of course after first simplifying...\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"7s%5E2-96x-256=0\"
\n" ); document.write( "\"s=%2896%2Bsqrt%2896%5E2%2B4%2A7%2A256%29%29%2F14\"
\n" ); document.write( "\"s=%2896%2B2%5E6%29%2F14\"
\n" ); document.write( "\"highlight%28s=80%2F7%29\"
\n" ); document.write( "or
\n" ); document.write( "\"11%263%2F7\"
\n" ); document.write( "
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