If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in the feet, of the park?

The length is 600 ft

Step-by-step explanation:

We can solve this by applying the Pythagorean theorem

a^2 + b^2 = c^2

The hypotenuse (diagonal path) is 750

750 represents c, 750^2 is 562500

We also know the width (one side of the triangle)

450 can represent a, 450^2 is 202500

202500 + b^2= 562500

We can subtract 202500 on both sides to isolate the b^2

b^2= 360000

Square root both sides of the equation

B= 600

The length is 600 ft

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x