A square garden has the end points listed below platinum label these plants on the grid a - 7, 6 b minus 2, - 6 c 10, - 1 d5, 11 connect the point to create square a b c d use superiortherogram theorem to find the side length s of square a b c d and b s equals blank b use the area formula a equals s to the power 2 to find out the area of square a b c d a equals blank feet power of two

1 answer

To find the side length of square ABCD, we can use the distance formula, also known as the Pythagorean theorem. The formula is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using this formula, we can find the distance between points A and B, which represents one side of the square.

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

Therefore, the side length of square ABCD is 13 units.

Using the area formula for a square:

Area = s^2

Substituting s = 13, we can find the area of square ABCD.

Area = 13^2
= 169

Therefore, the area of square ABCD is 169 square units.