Ann's first option is a plot of land adjacent to a current park. The current park is a square, and the addition will increase the width by 200 meters to give the expanded park a total area of 166,400 square meters, This equation represents the area of the first option, where x is the side length of the current square park:

X2 + 200x = 166,400.

Use the most direct method to solve this equation and find the side length of the current square park.

Explain your reasoning for both the solving process and the solution.​

Given:

The equation for the area of the first option is:

Where x is the side length of the current square park.

To find:

The side length of the current square park.

Solution:

We have,

It can be written as:

Splitting the middle term, we get

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.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5