. 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 = ________feet2

1 answer

To plot the points on the grid, you can create a coordinate system with x-axis and y-axis.

a. Plotting point A (-7, 6): Move 7 units to the left on the x-axis and 6 units up on the y-axis from the origin (0,0). Label it as A.

b. Plotting point B (-2, -6): Move 2 units to the left on the x-axis and 6 units down on the y-axis from the origin (0,0). Label it as B.

c. Plotting point C (10, -1): Move 10 units to the right on the x-axis and 1 unit down on the y-axis from the origin (0,0). Label it as C.

d. Plotting point D (5, 11): Move 5 units to the right on the x-axis and 11 units up on the y-axis from the origin (0,0). Label it as D.

Once all the points are plotted, you can connect them to create a square ABCD.

To find the area of the square ABCD, you can use the formula A = s^2, where s is the length of one side of the square.

To calculate the length of one side of the square, we can use the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2).

If we take two consecutive points on the square, for example, points A(-7, 6) and B(-2, -6), we can calculate the distance between them:

d = √((-2 - (-7))^2 + (-6 - 6)^2)
= √(5^2 + (-12)^2)
= √(25 + 144)
= √169
= 13

Therefore, the length of one side of the square ABCD is 13 feet.

Substituting the side length into the area formula:

A = 13^2
= 169 square feet

So, the area of square ABCD is 169 square feet.
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