document.write( "Question 1189805: You have 16 feet of fence to make a rectangular garden. Each side will measure a whole number of feet. How many different-sized rectangular (exclude squares) gardens can you make? \n" ); document.write( "

Algebra.Com's Answer #821285 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "If L and W are the length and the width of a rectangle, then L and W in our problem must be integer numbers satisfying  \r\n" );
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document.write( "    L + W  = 16/2 = 8,   or   L =  8 - W.\r\n" );
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document.write( "and we want to have L > W  (the case L = W = 4 is excluded, by the condition).\r\n" );
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document.write( "So, the possible pairs (dimensions) are\r\n" );
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document.write( "   T  A  B  L  E \r\n" );
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document.write( "     L      W\r\n" );
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document.write( "  ---------------\r\n" );
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document.write( "     7      1\r\n" );
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document.write( "     6      2\r\n" );
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document.write( "     5      3\r\n" );
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document.write( "As you see from the Table, there are three pairs possible dimensions for non-congruent rectangles.\r\n" );
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