document.write( "Question 1050464: The side of one square is 4m. longer than that of another square. The area of the larger square is 4m^2 less than twice the area off the smaller square. Find the length of each square. \n" ); document.write( "

Algebra.Com's Answer #666021 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the smaller side be x, the larger side y.
\n" ); document.write( " $\"y=4%2Bx\"$
\n" ); document.write( "and
\n" ); document.write( " $\"y%5E2=2x%5E2-4\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%284%2Bx%29%5E2=2x%5E2-4\"$
\n" ); document.write( " $\"16%2B8x%2Bx%5E2=2x%5E2-4\"$
\n" ); document.write( " $\"x%5E2-8x-20=0\"$
\n" ); document.write( " $\"%28x-10%29%28x%2B2%29=0\"$
\n" ); document.write( "Only one solution since x must be positive,
\n" ); document.write( " $\"x-10=0\"$
\n" ); document.write( " $\"x=10\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"y=4%2B10=14\"$
\n" ); document.write( "Verifying,
\n" ); document.write( " $\"14%5E2=2%2A10%5E2-4\"$
\n" ); document.write( " $\"196=2%2A100-4\"$
\n" ); document.write( " $\"196=200-4\"$
\n" ); document.write( " $\"196=196\"$
\n" ); document.write( "True, good solution.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );