Given:
The equation for the area of the first option is:
![x^2+200x=166400](https://tex.z-dn.net/?f=x%5E2%2B200x%3D166400)
Where x is the side length of the current square park.
To find:
The side length of the current square park.
Solution:
We have,
![x^2+200x=166400](https://tex.z-dn.net/?f=x%5E2%2B200x%3D166400)
It can be written as:
![x^2+200x-166400=0](https://tex.z-dn.net/?f=x%5E2%2B200x-166400%3D0)
Splitting the middle term, we get
![x^2+520x-320x-166400=0](https://tex.z-dn.net/?f=x%5E2%2B520x-320x-166400%3D0)
![x(x+520)-320(x+520)=0](https://tex.z-dn.net/?f=x%28x%2B520%29-320%28x%2B520%29%3D0)
![(x-320)(x+520)=0](https://tex.z-dn.net/?f=%28x-320%29%28x%2B520%29%3D0)
![x=320,-520](https://tex.z-dn.net/?f=x%3D320%2C-520)
We know that the side length of a park cannot be negative. So, the only possible value of x is 320.
Therefore, the most direct method to solve the given equation is splitting the middle term and the side length of the current square park is 320 meters.
The answer is B. I just answered this question earlier!
Answer:
2/3
Step-by-step explanation:
To add fractions add the numbers on top to each other and leave the bottom numbers alone if they are the same number.
![\frac{1}{3}+\frac{1}{3}=\frac{1+1}{3}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B1%2B1%7D%7B3%7D%3D%5Cfrac%7B2%7D%7B3%7D)