I found width=13.72 ft and length=43.72 ft.
Call one dimension of the rectangle x, the other will be x+30
You want an area A=600 ft^2 but A=length x width=x*(x+30)=600
Rearranging you get:

solving this quadratic equation you get a negative solution and a positive one that gives your result.
Answer:
y = (4/7)x² - (24/7)(x)
Step-by-step explanation:
4 = a(-1)² + b(-1)
4 = a - b
0 = a(6)² + b(6)
36a + 6b = 0
b = -6a
4 = a - (-6a)
7a = 4
a = 4/7
b = -24/7
y = (4/7)x² - (24/7)(x)
Answer: a) 6700 b) 2233
Step-by-step explanation:
a)

b)

120/100 = x/15
100x = 1800 (Divide by 100 on both sides)
x = 18
Kx+9=7
Kx=-2 (subtract 9 from both sides)
X=-2/k (divide k from both sides.