document.write( "Question 665518: A 22-foot board is cut into two pieces. Twice the length of the shorter piece is 4 ft less than the length of the longer piece. Find the length of each piece. \n" ); document.write( "

Algebra.Com's Answer #413892 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = the length of the shorter piece
\n" ); document.write( " $\"+22+-+x+\"$ = the length of the longer piece
\n" ); document.write( "given:
\n" ); document.write( " $\"+2x+=+22+-+x+-+4+\"$
\n" ); document.write( " $\"+2x+%2B+x+=+22+-+4+\"$
\n" ); document.write( " $\"+3x+=+18+\"$
\n" ); document.write( " $\"+x+=+6+\"$
\n" ); document.write( " $\"+22+-+x+=+22+-+6+\"$
\n" ); document.write( " $\"+22+-+6+=+16+\"$
\n" ); document.write( "The pieces are 6 ft and 16 ft
\n" ); document.write( "check:
\n" ); document.write( "Twice the shorter piece is 2 x 6 = 12
\n" ); document.write( "The longer piece is 4' longer, or 16'
\n" ); document.write( "OK \n" ); document.write( "

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