Question

Part B

Answer 1

Answer: The side length of the square-shaped park is 120 meters.

Here we know that:

Here we Ann has two plots of land, one square and other triangular.

We know that the triangular one has an area of 32,500 m^2

And we also know that the total area is equal to 76,600 m^2

Then the area of the square plot will be equal to the difference between the total area and the area of the triangular plot.

area of the square plot = 76,600 m^2 - 32,500 m^2

Now, also remember that for a square of side length x, the area is given by:

A = x^2

Replacing that in the above equation we get:

x^2 = 76,600 m^2 - 32,500 m^2

Now we want to solve this for x, the side length of the square-shaped park.

First, let's solve the difference in the right side:

x^2 = 44,100 m^2

Now we can apply the square root in both sides to get:

√x^2 = √(44,100 m^2)

x = 210 m

The side length of the square-shaped park is 120 meters.

Step-by-step explanation: