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.



Answer :

Answer:

Step-by-step explanation:

To solve for the side length \( x \) of the square park, we start with the equation given:

\[ x^2 + 32,500 = 76,600 \]

First, subtract 32,500 from both sides to isolate \( x^2 \):

\[ x^2 = 76,600 - 32,500 \]

\[ x^2 = 44,100 \]

Next, take the square root of both sides to solve for \( x \):

\[ x = \sqrt{44,100} \]

Calculating the square root of 44,100:

\[ x = 210 \]

Therefore, the side length \( x \) of the square park is \( \boxed{210} \) meters.

To verify:

Calculate \( x^2 \) and add 32,500 to check if it equals 76,600:

\[ 210^2 = 44,100 \]

\[ 44,100 + 32,500 = 76,600 \]

The calculations confirm that \( x = 210 \) meters is correct. Thus, the side length of the square park is \( \boxed{210} \) meters.