document.write( "Question 816870: A 60-foot rope is cut into four pieces, with each successive piece twice as long as the previous one. Find the length of the longest piece. \n" ); document.write( "

Algebra.Com's Answer #491758 by TimothyLamb(4379) $\"\"$ $\"About$

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d = 2c
\n" ); document.write( "c = 2b
\n" ); document.write( "b = 2a
\n" ); document.write( "---
\n" ); document.write( "d = 8a
\n" ); document.write( "c = 4a
\n" ); document.write( "b = 2a
\n" ); document.write( "---
\n" ); document.write( "a + b + c + d = 60
\n" ); document.write( "---
\n" ); document.write( "a + 2a + 4a + 8a = 60
\n" ); document.write( "15a = 60
\n" ); document.write( "---
\n" ); document.write( "a = 4 ft
\n" ); document.write( "b = 8 ft
\n" ); document.write( "c = 16 ft
\n" ); document.write( "d = 32 ft
\n" ); document.write( "---
\n" ); document.write( "Answer:
\n" ); document.write( "the longest piece is 32 ft
\n" ); document.write( "---
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