document.write( "Question 816660: [ A long wire is cut into three smaller pieces in the ratio of 7:3:2. if the shortest piece is 16 cm, what is the area of the rectangle with the largest area that can be created using the longest piece? ] \n" ); document.write( "
Algebra.Com's Answer #491650 by TimothyLamb(4379)\"\" \"About 
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a = (7/12)L
\n" ); document.write( "b = (3/12)L
\n" ); document.write( "c = (2/12)L
\n" ); document.write( "---
\n" ); document.write( "c = 16 cm
\n" ); document.write( "c = (2/12)L
\n" ); document.write( "16 = (2/12)L
\n" ); document.write( "---
\n" ); document.write( "L = 16(12/2)
\n" ); document.write( "L = 96 cm
\n" ); document.write( "---
\n" ); document.write( "a = (7/12)L
\n" ); document.write( "a = (7/12)96
\n" ); document.write( "a = 56 cm
\n" ); document.write( "---
\n" ); document.write( "b = (3/12)L
\n" ); document.write( "b = (3/12)96
\n" ); document.write( "b = 24 cm
\n" ); document.write( "---
\n" ); document.write( "a is the longest piece at 56 cm
\n" ); document.write( "---
\n" ); document.write( "what is the area of the rectangle with the largest area that can be created using the longest piece?
\n" ); document.write( "it's actually a square, so:
\n" ); document.write( "L = w = (1/4)56
\n" ); document.write( "L = w = 14
\n" ); document.write( "a = Lw = 14^2
\n" ); document.write( "a = 196 sq.cm
\n" ); document.write( "---
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