document.write( "Question 937473: The area of a rectangle gets reduced by 8 sq. metre, if its length is reduced by 5 metre and breadth is increased by 3 metre. If we increase the length by 3 metre and breadth by 2 metre, the area is increased by 74 sq. metre. Find the length and breadth of the rectangle.? \n" ); document.write( "
Algebra.Com's Answer #570824 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The area of a rectangle gets reduced by 8 sq. metre, if its length is reduced by 5 metre and breadth is increased by 3 metre. If we increase the length by 3 metre and breadth by 2 metre, the area is increased by 74 sq. metre. Find the length and breadth of the rectangle.? \n" ); document.write( "*** \n" ); document.write( "let x=length of rectangle \n" ); document.write( "let y=breadth of rectangle \n" ); document.write( "original area=xy \n" ); document.write( "xy-(x-5)(y+3)=8 \n" ); document.write( "(x+3)(y+2)-xy=74 \n" ); document.write( ".. \n" ); document.write( " xy-(xy-5y+3x-15)=8 \n" ); document.write( "-xy+(xy+3y+2x+6)=74 \n" ); document.write( ".. \n" ); document.write( " xy-xy+5y-3x+15=8 \n" ); document.write( "-xy+xy+3y+2x+6=74 \n" ); document.write( ".. \n" ); document.write( "5y-3x+15=8 \n" ); document.write( "3y+2x+6=74 \n" ); document.write( ".. \n" ); document.write( "10y-6x+30=16 \n" ); document.write( " 9y+6x+18=222 \n" ); document.write( "add \n" ); document.write( "19y+48=238 \n" ); document.write( "19y=190 \n" ); document.write( "y=10 \n" ); document.write( "2x=74-6-3y=38 \n" ); document.write( "x=19 \n" ); document.write( "length of rectangle=19 metres \n" ); document.write( "breadth of rectangle=10 meters \n" ); document.write( " |