document.write( "Question 1178371: a goat is tied to a corner of a 30 ft by 35 ft building. if the rope is 40 ft long and the goat can reach 1 ft farther than the rope length, what is the maximum area the goat can cover? \n" ); document.write( "
Algebra.Com's Answer #807605 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Given:\r
\n" ); document.write( "\n" ); document.write( "width of building = \"30\" ft
\n" ); document.write( "length of building = \"35\" ft
\n" ); document.write( "length of rope = \"40\" ft
\n" ); document.write( "total reach of goat = \"41\" ft
\n" ); document.write( "To solve for the total area, get the sum of the three areas.\r
\n" ); document.write( "\n" ); document.write( "\"A%5Bt%5D=A%5B1%5D%2BA%5B2%5D%2BA%5B3%5D\"\r
\n" ); document.write( "\n" ); document.write( "Area 1 is equal to the one quarter of the area of a \"6+\"ft radius circle.\r
\n" ); document.write( "\n" ); document.write( "\"A%5B1%5D=%281%2F4%29pi%2Ar%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"A%5B1%5D=%281%2F4%29pi%2A6%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"A%5B1%5D=28.274\"\r
\n" ); document.write( "\n" ); document.write( "Area 2 is equals to the one quarter of the area of a \"11\" ft radius circle.\r
\n" ); document.write( "\n" ); document.write( "\"A%5B2%5D=%281%2F4%29pi%2A11%5E2%0D%0A%0D%0A%7B%7B%7BA%5B2%5D=95.03\"\r
\n" ); document.write( "\n" ); document.write( "Area 3 is equals to the three quarters of the area of a \"41\" ft radius circle.\r
\n" ); document.write( "\n" ); document.write( "\"A%5B3%5D=%283%2F4%29pi%2A41%5E2%0D%0A%0D%0A%7B%7B%7BA%5B3%5D=3960.76\"\r
\n" ); document.write( "\n" ); document.write( "total area:\r
\n" ); document.write( "\n" ); document.write( "\"A%5Bt%5D=28.274%2B95.03%2B3960.76\"\r
\n" ); document.write( "\n" ); document.write( "\"A%5Bt%5D=4084\"\r
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