Question 842220
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Hi,
<img src='http://img585.imageshack.us/img585/479/rectangle.png' border='0'/></a>
A rectangle has a length which is 7 ft less than three times the width{{{highlight_green(x)}}}. 
The area is 348 square feet
A = lw
 (3x-7)x = 348ft^2
  3x^2 - 7x - 348 = 0    |format a^2 + bx + c = 0
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (7 +- sqrt( 4225 ))/(6) }}}
  x = 12ft, the width  (throwing out negative solution for unit measure
and length is 29ft    {{{3*12-7}}}
CHECKING our answer***
  12ft•29ft = 348ft^2
Wish You the Best in your Studies.