80 POINTS AND BRAINLIEST PLS HURRY 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.

Ann’s second option is rezoning two separate plots of land. One is square, and the other is triangular with an area of 32,500 square meters. For this second option, the total area would be 76,600 square meters, which can be represented by this equation, where x is the side length of the square park: x2 + 32,500 = 76,600.

Use the most direct method to solve this equation and find the side length of the square-shaped park. Explain your reasoning for both the solving process and the solution.