Question

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

Answer 1

150 ft

Explanation:

Answer 2

The answer to your question is 150 ft

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