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.
3. Use the Pythagorean Theorem to find the side length, s, of Square ABCD in
feet.
s = ________feet
4. Use the area formula, 𝐴𝐴 = 𝑠𝑠2, to find the area of Square ABCD.
A = ________feet squared
To plot these points on the grid, we can use a coordinate plane:
| |
11| |
10| |
9| |
8| |
7| |
6| A |
5| |
4| |
3| |
2| |
1| |
0|___________________|
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
a. Point A (-7, 6) is plotted on (-7, 6).
b. Point B (-2, -6) is plotted on (-2, -6).
c. Point C (10, -1) is plotted on (10, -1).
d. Point D (5, 11) is plotted on (5, 11).
To connect the points and create Square ABCD, we draw lines between adjacent points. So, connecting A to B, B to C, C to D, and D to A would form a square.
Using the Pythagorean Theorem, we can find the side length of Square ABCD. We can take the distance between any two adjacent points and that would give us the side length.
For example, if we take the distance between points A and B:
AB = √((-2 - (-7))^2 + (-6 - 6)^2)
= √(5^2 + (-12)^2)
= √(25 + 144)
= √169
= 13
Therefore, the side length of Square ABCD is 13 feet.
Using the area formula A = s^2, the area of Square ABCD would be:
A = 13^2
= 169 square feet
Therefore, the area of Square ABCD is 169 square feet.