document.write( "Question 155022: A rectangle having twice the area of a square is formed by decreasing two parallel sides of the square by 2 cm. and increasing the other two parallel sides by 12 cm. How long is each side of the square? \n" ); document.write( "
Algebra.Com's Answer #114126 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
\"Area%5BR%5D=2%2AArea%5BS%5D\" ---------------> working eqn
\n" ); document.write( "To satisfy the ABOVE condition ----> decreasing 2 parallel sides by 2cm and increasing the other by 12cm to formed the Area of the rectangle:
\n" ); document.write( "Remember: For the Square, \"sides=s\"
\n" ); document.write( "For the Rectangle, \"Width=s-2cm\", & \"Lenght=s%2B12cm\"
\n" ); document.write( "Therefore, going back working eqn
\n" ); document.write( "\"%28s-2%29%28s%2B12%29=2%2A%28s%5E2%29\" ----------------------> eqn 1
\n" ); document.write( "\"s%5E2-2s%2B12s-24=2s%5E2\"
\n" ); document.write( "\"2s%5Es-s%5E2%2B2s-12s%2B24=0\"
\n" ); document.write( "\"s%5E2-10s%2B24=0\", perfect square
\n" ); document.write( "\"%28s-6%29%28s-4%29=0\"
\n" ); document.write( "2 values:\"system%28s=6cm%2Cs=4cm%29\"
\n" ); document.write( "SO THE SIDES OF THE SQUARE COULD BE 6CM OR 4CM. TO CHECK, SIMPLY SUBSTITUTE EITHER S=6CM OR 4CM TO EQN 1.
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );