1.A square garden has the end points listed below. Plot and label these points on the grid
A: (-7,6)
B: (-2,-6)
C: (10, -1)
D: (5, 11)
2.Connect the points to create Square ABCD
3.Use Pythagorean Theorem to find the side length s, of Square ABCD in feet
4. Use the area formula A=s^2 to find the area of Square ABCD
To plot the points, we can create a grid with the x-axis and y-axis labeled.
The grid would look like this:
y
^
|
14 | D
| •
12 |
| •
10 |
|
8 |
|
6 | A
| •
4 |
|
2 |
| • C
0 |
–––––––––––––––––––––> x
-7 -5 -3 -1 1 3 5 7 9 11
Now, we can plot and label the points:
A: (-7, 6)
B: (-2, -6)
C: (10, -1)
D: (5, 11)
To connect the points and create square ABCD, we would draw the line segments:
- From A to B
- From B to C
- From C to D
- From D to A
Using the Pythagorean Theorem, we can find the side length s of Square ABCD in feet:
To find the distance between A and B:
AB^2 = (-7 - (-2))^2 + (6 - (-6))^2
AB^2 = (-5)^2 + (12)^2
AB^2 = 25 + 144
AB^2 = 169
AB = √169
AB = 13 feet
Since ABCD is a square, the side length s is the same for all sides. Therefore, s = AB = 13 feet.
To find the area of Square ABCD, we can use the area formula A = s^2:
A = 13^2
A = 169 square feet.