Question 1043693
No information about how the two garden dimensions relate, so assume a square lawn.


x, the side of either rectangular  (or square) dimension.


{{{x^2=667}}}
{{{(x+2*4)^2=667+548}}}
{{{x+8=sqrt(667+548)}}}, and {{{sqrt(667+548)}}}  IS THE DIAMETER of the sprinkler spray, so this means  {{{(1/2)sqrt(1215)}}}  is the RADIUS.


Recall, the sprinkler covers the entire yard INCLUDING the flower bed and garden.  This is the same as  {{{(x+8)/2}}}.