Question 65774
(30-2x)(20-2x)=400
600-40x-60x+4x^2=400
4x^2-100x=-600+400
4x^2-100x=-200
4x^2-100x+200=0
x^2-25x+50=0
using the quadratic equation for x we get
x=(-b+-sqrt[b^2-4ac])/2a
x=(25+-sqrt625-4*1*50])/2*1
x=(25+-sqrt[625-200])/2
x=(25+-sqrt425)/2
x=(25+-20.6155)/2
x=(25+20.6155)/2
x=45.6155/2
x=22.8 not a solution because it is longer than the garden. 
x=(25-20.6155)/2
x=4.3845/2
x=2.19 feet for the path