Given:
The library at (-2,2).
The city hall is at (0,2).
The school is at (0,0).
Required:
We need to locate these three points and find the area after joining them.
Explanation:
1)
Recall that coordinates are written as (x, y), where x is the value from the origin in the direction of the x-axis, and y is the value from the origin in the direction of the y-axis.
Locate the point (-2,2), where -2 is 2 units from origin to the left side on the x-axis and 2 is 2 units from origin to up on the y-axis.
Similarly, locate the remaining points in the graph.
2)
Join all three points.
We get a right-angled triangle.
The right-angled triangle is formed by connecting the three locations.
3)
The city park is placed in the region connecting the three locations.
We need to find the area of the triangle connecting the three locations.
The length of the base is the distance between (-2,2) and (0,2).
The height is the distance between (0,2) and (0,0).
The distance between (-2,2) and (0,2) is 2 units,
We get b =2.
The distance between (0,2) and (0,0) is 2 untis.
We get h=2.
Consider the area of the triangle formula.
[tex]A=\frac{1}{2}bh[/tex]
Substitute b=2 and h=2 in the formula.
[tex]A=\frac{1}{2}\times2\times2[/tex][tex]A=2\text{ units}^2[/tex]
The area of the planned park is 2 square units.
Final answer:
Connecting the three locations formed the right-angled triangle.
The area of the planned park is 2 square units.
