document.write( "Question 261304: If the length of a side of a square is increased by 3 centimeters, the perimeter of the new square is 40 centimeters more than twice the length of the side of the original square. Find the length of the side of the original square. \n" ); document.write( "
Algebra.Com's Answer #192500 by CharlesG2(834)\"\" \"About 
You can put this solution on YOUR website!
If the length of a side of a square is increased by 3 centimeters, the perimeter of the new square is 40 centimeters more than twice the length of the side of the original square. Find the length of the side of the original square.\r
\n" ); document.write( "\n" ); document.write( "squares have 4 equal sides by definition
\n" ); document.write( "the area A of a square equals side s squared or A = s^2
\n" ); document.write( "the perimeter P of a square equals 4 times side s or P = 4 * s\r
\n" ); document.write( "\n" ); document.write( "P = 2 * s + 40 = 4 * (s + 3)
\n" ); document.write( "2*s + 40 = 4*s + 12
\n" ); document.write( "2*s - 4*s = 12 - 40
\n" ); document.write( "-2 * s = - 28
\n" ); document.write( "s = 14 cm\r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "2*14 + 40 = 4 * (14 + 3)
\n" ); document.write( "28 + 40 = 4 * 17
\n" ); document.write( "68 = 68
\n" ); document.write( " \n" ); document.write( "
\n" );