Question 647337
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
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The length{{{highlight(L)}}} of the room is 1 ½ feet longer than the width{{{highlight(W)}}}. 
Find the length of the room. 
Question states*** A = 126ft^2
{{{L*W = 126ft^2}}}    |  L = {{{W + 1.5}}}
{{{(W+1.5)(W) = 126ft^2}}}
  W^2 + 1.5W - 126 = 0
{{{W = (-1.5 +- sqrt( 2.25-4*1*-126 ))/(2) }}}
 W = 10.5ft   (Throwing out the negative solution for unit measure)
 L = 12ft
and..
{{{12ft*10.5ft = 126ft^2}}}