document.write( "Question 914444: If a square is enlarged to a rectangle by lengthening one pair of sides 2 centimeters and the other pair of sides 3 centimeters, the area is increased by 36 square centimeters. Find the dimension of the original square. \n" ); document.write( "
Algebra.Com's Answer #555111 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! If a square is enlarged to a rectangle by lengthening one pair of sides 2 centimeters and the other pair of sides 3 centimeters, the area is increased by 36 square centimeters. Find the dimension of the original square. \n" ); document.write( "*** \n" ); document.write( "let x=length of side of original square. \n" ); document.write( "x+2=width of enlarged rectangle \n" ); document.write( "x+3=length of enlarged rectangle \n" ); document.write( "(x+3)(x+2)-x^2=36 \n" ); document.write( "x^2+5x+6-x^2=36 \n" ); document.write( "5x+6=36 \n" ); document.write( "5x=30 \n" ); document.write( "x=6 \n" ); document.write( "dimension of the original square: 6 cm by 6 cm \n" ); document.write( " |