document.write( "Question 480543: If the length and breadth of a room are increased by 1 metre, the area is increased by 21 metres. If the length is increased by 1 metre , the area is dcreased by 5 square metres . Find the perimeter of the room. \n" ); document.write( "
Algebra.Com's Answer #329082 by mathstutor494(120)\"\" \"About 
You can put this solution on YOUR website!
Let the length and breadth of a room be x & y\r
\n" ); document.write( "\n" ); document.write( "Area of the room = x * y\r
\n" ); document.write( "\n" ); document.write( "When the length and breadth of a room are increased by 1 metre, then the new dimensions of the room would be\r
\n" ); document.write( "\n" ); document.write( "Length : x+1
\n" ); document.write( "Width : y+1\r
\n" ); document.write( "\n" ); document.write( "New area = (x+1)(y+1)\r
\n" ); document.write( "\n" ); document.write( "Since the area is increased by 21 metres, therefore\r
\n" ); document.write( "\n" ); document.write( "(x+1)(y+1)- xy = 21...........(1)\r
\n" ); document.write( "\n" ); document.write( "Further when the length is increased by 1 metre, then the area would be (x+1) * y\r
\n" ); document.write( "\n" ); document.write( "Now when the length is increased by 1 metre , the area is dcreased by 5 square metres\r
\n" ); document.write( "\n" ); document.write( "(x+1) * y -xy = 21-5............(2)\r
\n" ); document.write( "\n" ); document.write( "Simplifying & solving eqns 1 & 2 results in
\n" ); document.write( "x=4 and y=16\r
\n" ); document.write( "\n" ); document.write( "Perimeter of the room = 2*(Length+width)\r
\n" ); document.write( "\n" ); document.write( "= 2*(4+16)\r
\n" ); document.write( "\n" ); document.write( "Ans : 40 meter\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );