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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( ". \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. \n" ); document.write( " |