Question 972369
width=x
length=x+10

x(x+10)=800 ft^2

x^2 + 10 x= 800 ft^2.

x^2 +10x +25= 825
(x+5)^2=825

X+5+= +sqrt (825)
x=-5 +sqrt (825)=-5 +28.72=23.7 ft.

Check: 23.7ft width * 33.7ft  length=798.69, which is in rounding error of 800 ft^2.