document.write( "Question 796068: if the length of a rectangle is decreased by twice the width the result is 8cm the perimeter of the rectangle is 40cm find the dimensions \n" ); document.write( "
Algebra.Com's Answer #481235 by waynest(281)\"\" \"About 
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length - 2w = 8
\n" ); document.write( "length - 2w + 2w = 8 + 2w
\n" ); document.write( "length(L) = 2w + 8
\n" ); document.write( "width = w
\n" ); document.write( "p = 2w + 2L\r
\n" ); document.write( "\n" ); document.write( "2w + 2(2w + 8) = 40
\n" ); document.write( "2w + 4w + 16 = 40
\n" ); document.write( "6w + 16 - 16 = 40 -16
\n" ); document.write( "6w = 24
\n" ); document.write( "6w/6 = 24/6
\n" ); document.write( "w = 4 cm
\n" ); document.write( "length = 2(4) + 8 = 16 cm\r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "2(4) + 2(2(4) + 8) = 40
\n" ); document.write( "8 + 2(8 + 8) = 40
\n" ); document.write( "8 + 2(16) = 40
\n" ); document.write( "8 + 32 = 40
\n" ); document.write( "40 = 40
\n" ); document.write( "
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