document.write( "Question 623373: a rectangle has a length that is 1m less than twice its width. increasing the width by 3m and decreasing the length by 1m results in a square. find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #392135 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a rectangle has a length that is 1m less than twice its width. \n" ); document.write( "L = 2W-1 \n" ); document.write( ": \n" ); document.write( "increasing the width by 3m and decreasing the length by 1m results in a square \n" ); document.write( "Then the length and width will be equal; therefore: \n" ); document.write( "L-1 = W+3 \n" ); document.write( "L = W + 3 + 1 \n" ); document.write( "L = W + 4 \n" ); document.write( "Replace L with (2W-1), find W \n" ); document.write( "2W - 1 = W + 4 \n" ); document.write( "2W - W = 4 + 1 \n" ); document.write( "W = 5 units is the width \n" ); document.write( "then \n" ); document.write( "2(5) - 1 = 9 units is the length \n" ); document.write( ": \n" ); document.write( "find the dimensions of the rectangle. 9 by 5 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can check this by finding what the side of the square is \n" ); document.write( "Subtract 1 from 9 and add 3 to 5 \n" ); document.write( " |