Answer:
x² - 100x - 157500 = 0
Step-by-step explanation:
Let the number be x.
Width = x + 50
Length = x + 50 - 200 = x - 150
Area of parking lot = 150000
Length * Width = 150000
(x - 150) * ( x + 50) = 150000
x *(x+50) - 150 *( x+50) = 150000
x² + 50x - 150x - 7500 = 150000
x² - 100x -7500 - 150000 = 0
x² - 100x - 157500 = 0
(x+350)(x-450) =0
x- 450 = 0 {x + 350 = 0 cannot be solution as x will take a negative value}
x = 450 ft
Length = x -150 = 450 - 150 = 300 ft
Width = x + 50 = 450 + 50 = 500 ft
