document.write( "Question 207146: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 3 feet shorter and the other 2 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 32 feet, so that it does not cover a huge area of the garden. Determine the maximum length of each side of the triangular area that Jenny has visualized. \n" ); document.write( "
Algebra.Com's Answer #156620 by ankor@dixie-net.com(22740)\"\" \"About 
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a side of the triangular area 3 feet shorter and the other 2 feet longer than the
\n" ); document.write( " third side. She also wants to restrict the perimeter of the triangular area to
\n" ); document.write( " 32 feet, so that it does not cover a huge area of the garden.
\n" ); document.write( " Determine the maximum length of each side of the triangular area
\n" ); document.write( ":
\n" ); document.write( "Let x = length of the 3rd side
\n" ); document.write( "then
\n" ); document.write( "(x-3) = short side
\n" ); document.write( "and
\n" ); document.write( "(x+2) = long side
\n" ); document.write( ":
\n" ); document.write( "Perimeter
\n" ); document.write( "x + (x-3) + x+2) = 32
\n" ); document.write( ":
\n" ); document.write( "3x - 1 = 32
\n" ); document.write( ":
\n" ); document.write( "3x = 32 + 1
\n" ); document.write( "x = \"33%2F3\"
\n" ); document.write( "x = 11 ft is the 3rd side
\n" ); document.write( "and
\n" ); document.write( "8 ft is the short side
\n" ); document.write( "and
\n" ); document.write( "13 ft is the long side
\n" ); document.write( ":
\n" ); document.write( "Check
\n" ); document.write( "11 + 8 + 13 = 32 \n" ); document.write( "
\n" );