The area of a rectangular skate park is 6/11 square miles. The length of the skate park is 3/5 mile. What is the width, in miles, of the park?*

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

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

answer: options

step-by-step explanation: