City skate park is a rectangle hundred feet long by 50 feet wide the city wants to triple the area of the skate park by adding the same distance x to the length and width calculate the length of the new skate park

The answer to your question is 150 ft

Step-by-step explanation:

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