document.write( "Question 858158: Among all rectangles that have a perimeter of 102, find the dimensions of the one whose area is largest. \n" ); document.write( "
Algebra.Com's Answer #517119 by JulietG(1812)\"\" \"About 
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If the perimeter = 102, then L + W = 51 (perimeter is 2L + 2W)
\n" ); document.write( "The numbers closest together are going to yield the highest area.
\n" ); document.write( "Any numbers that equal 51 are going to work. What two numbers are closest to each other? 51/2 = 25.5
\n" ); document.write( "Length = 26, Width = 25, Area = 25 * 26 = 650
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\n" ); document.write( "You can test that. Pick any other two. How about 50 and 1?
\n" ); document.write( "50 * 1 = 50
\n" ); document.write( "Maybe 30 and 21. 30*21=630
\n" ); document.write( "20*31=620
\n" ); document.write( "5*46 =230
\n" ); document.write( "etc, etc, etc. It's always going to be the two numbers closest together that yield the highest area.
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