To plot the points on the grid, we can use a coordinate plane. Let's label the x-axis horizontally and the y-axis vertically.
The points given are:
A: (-7, 6)
B: (-2, -6)
C: (10, -1)
D: (5, 11)
Plotting these points on the grid:
```
| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
0| | | | | | A | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
1| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
2| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
3| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
4| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
5| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
6| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
7| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
8| | | | | | | | B | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
9| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
10| | | | | | | C | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
11| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
12| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
```
Now, we can connect the points A, B, C, and D to form a square:
```
| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
0| | | | | | A |---|---|---|---|---|
---|---|---|---|---|---|---|---|---|---|---|---|---
1| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
2| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
3| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
4| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
5| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
6| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
7| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
8| | | | | | | | B |---|---|---|
---|---|---|---|---|---|---|---|---|---|---|---|---
9| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
10| | | | | | | C |---|---|---|---|
---|---|---|---|---|---|---|---|---|---|---|---|---
11| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
12| | | | | | | | | | | |
---|---|---|---|---|---|---|---|---|---|---|---|---
```
To find the side length, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Calculating the distance between points A and B:
d = √((-2 - (-7))^2 + (-6 - 6)^2)
= √(5^2 + (-12)^2)
= √(25 + 144)
= √169
= 13
So, the side length of the square is 13 units.
To find the perimeter (p), we multiply the side length by 4:
p = 13 * 4
p = 52 units
To find the area (a) of the square, we square the side length:
a = 13^2
a = 169 square units
Square garden has the end points listed below plot and label these points on the grid a is -7, 6 b minus 2, - 6 c 10, - 1 d 5, 11 connect the points to create square ABCD use the pathogens theorem to find the side length s of square a b c d and p use the area formula a = S2 to find the area of the square a b c d a is equal to blank to feet power our feet power
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