document.write( "Question 861223: the area of a square is 77 more than the perimeter. Find the length of a side \n" ); document.write( "

Algebra.Com's Answer #519251 by ben720(159) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let s = side, $\"s%5E2\"$ = area, $\"4s\"$ = perimeter
\n" ); document.write( "the area of a square is 77 more than the perimeter
\n" ); document.write( "s^2 is 77 more than 4s
\n" ); document.write( " $\"s%5E2=4s%2B77\"$
\n" ); document.write( "Subtract 4s+77 from both sides
\n" ); document.write( " $\"s%5E2-4s-77=0\"$
\n" ); document.write( "Use the quadratic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%284+%2B-+sqrt%28+4%5E2-4%2A1%2A-77+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%284+%2B-+sqrt%28+16%2B308+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+%284+%2B-+sqrt%28+324+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x=%284%2B18%29%2F2\"$ OR $\"x=%284-18%29%2F2\"$
\n" ); document.write( " $\"x=11\"$ OR $\"x=-7\"$
\n" ); document.write( "Because the length can't be negative, it's 11. \n" ); document.write( "

\n" );