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)![]() ![]() ![]() You can put this solution on YOUR website! 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( " |