document.write( "Question 631663: the perimeter of a rectangle is 80m.the length is decresed by 2m and width is increased by 2m.By doing this the area of a rectangle will be increased by 36 sq.m. What is the length and width? \n" ); document.write( "
Algebra.Com's Answer #397733 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let length be l & width be w\r \n" ); document.write( "\n" ); document.write( "2(l+w)= 80 perimeter\r \n" ); document.write( "\n" ); document.write( "l+w = 40 \r \n" ); document.write( "\n" ); document.write( "new length = (l-2) \n" ); document.write( "new width = (w+2)\r \n" ); document.write( "\n" ); document.write( "New area - old area = 36\r \n" ); document.write( "\n" ); document.write( "(l-2)(w+2)-lw=36 \n" ); document.write( "lw+2l-2w-4-lw=36 \n" ); document.write( "2l-2w=40 \n" ); document.write( "/2 \n" ); document.write( "l-w=20 \n" ); document.write( "l+w=40\r \n" ); document.write( "\n" ); document.write( "add both equations \n" ); document.write( "2l=60 \n" ); document.write( "l=30 \n" ); document.write( "so w=10\r \n" ); document.write( "\n" ); document.write( "The dimensions of rectangle are 30 & 10 m\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |