Answer:
The answer to your question is 150 ft
Process
1.- Find the area of the city skate park
2.- Find the equation of the area of the new city skate park.
3.- Find the value of "x",
1.- Area = length x width
Area = 100 x 50
= 5000 ft²
2.- (100 + x) /50 + x) = 15000
x² + 150x + 5000 = 15000
x² + 150x + 5000 - 15000 = 0
x² + 150x - 10000 = 0
Factor the equation
(x + 200)(x - 50) = 0
x₁ = -200 x₂ = 50 Length can not be negative so the answer is
50.
New length = 100 + 50 = 150 ft
