A square garden has the end points listed below. Plot and label these points on
the grid:
a. A (-7, 6)
b. B (-2, -6)
c. C (10, -1)
d. D (5, 11)
2. Connect the points to create Square ABCD.
. Use the area formula, 𝐴𝐴 = 𝑠𝑠2, to find the area of Square ABCD.
A = ________feet^2
To plot and label these points on the grid, we can draw a coordinate plane and mark the given end points.
The coordinate plane would look like this:
```
y ^
|
11| D
10|
9|
8|
7|
6|
5|
4|
3|
2|
1|
0|
--------------------------------> x
1 2 3 4 5 6 7 8 9 10
```
Now we can plot and label the given points:
a. A (-7, 6) will be at (-7, 6) on the grid.
b. B (-2, -6) will be at (-2, -6) on the grid.
c. C (10, -1) will be at (10, -1) on the grid.
d. D (5, 11) will be at (5, 11) on the grid.
The plot would look like this:
```
y ^
|
11| D
10|
9|
8|
7|
6| A
5|
4|
3|
2|
1|
0| B
--------------------------------> x
1 2 3 4 5 6 7 8 9 10
```
To find the area of Square ABCD, we first need to find the length of one side of the square. We can use the distance formula: 𝑑 = √((𝑥2 - 𝑥1)^2 + (𝑦2 - 𝑦1)^2).
The distance between points A and B is: 𝑑 = √((-2 -(-7))^2 + (-6-6)^2) = √(5^2 + (-12)^2) = √(25 + 144) = √169 = 13.
So, the length of one side of the square is 13 feet.
To find the area of the square, we can use the formula: 𝐴 = 𝑠^2, where 𝑠 is the length of one side.
Therefore, the area of Square ABCD is: 𝐴 = 13^2 = 169 feet^2.