<PRE><B>Question 198327</B>
Area  =  Length  *  Width
.
A = ( w+16) * ( w)
.
35 = w^2 + 16w
.
0 = w^2 +16w -35
.
using  quadratic  equation
.
a = 1,,b = 16,,,c=-35
.
w =  { - (16) +/- sq rt ( (16)^2 - 4 (1) (-35) } / 2 (1)
.
w = { -16 +/-  19.899 } /2
.
w =  -17.949, + 1.949,,,,-17.95, +1.95 ,,,,,neg  dim  not   reasonable  therefore w= 1.95
.
L = w+16 = 17.95  
.
checking
(-17.95) (-17.95 +16 ) = 35,,,ok
.
(1.95) ( 1.95 + 16 ) = 35,,,,ok
.
A = 1.95 * 17.95 = 35,,,,ok</PRE>