<PRE><B>Question 192101</B>
Area  =  L*w

original  Area  = 4*7=28

new  graden  is  (2) * (28)=56    (given)

new  garden  Area  is  (4+x) *(7+x) =56

using  FOIL

28 +4x+7x+x^2 =56
28 +11x+x^2 =56
subt  56  both  sides
28-56 +x^2+11x  =0

x^2 +11x -28 =0

factoring   will not  work  so  use  quadratic  eqn

a=(1),  b=(11), c=(-28)

x= (   -(11)  +- (   (11)^2-4(1)(-28)  ^.5)  )/2(1)

x=(   (-11) +- (15.26)  )/2

x=( (-11) +15.26 )/2 = 2.13

or x=  (  (-11)  -15.26 ) /2 =  -13.13   not  realistic

check

a=  (4+2.13)  *(7+2.13) = 6.13*9.13 = 56    ok


answer  is  (6.13)  by (9.13)  m</PRE>