a square garden has the end points of A (-7, 6), B (-2, -6), C (10, -1), and D (5, 11). Use the Pythagorean Theorem to find the side length, s, of Square ABCD in feet.

Answer 1

To find the side length, we need to find the distance between any two adjacent points. Let's find the distance between points A and B.

Using the Pythagorean Theorem, we have:

d^2 = (x2 - x1)^2 + (y2 - y1)^2

Where d is the distance between the points (x1, y1) and (x2, y2).

In this case, the points are A(-7, 6) and B(-2, -6).

So, x1 = -7, y1 = 6, x2 = -2, and y2 = -6.

Plugging these values into the formula, we have:

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

Taking the square root of both sides, we get:

d = √169
= 13

Therefore, the distance between points A and B is 13 feet.

Since we know that square ABCD is a square, all sides would have the same length. So, the side length, s, of square ABCD is also 13 feet.

Answer 2

what is the area of the square?

Answer 3

The area of a square can be found by squaring the length of one of its sides.

In this case, the side length of square ABCD is 13 feet.

So, the area of square ABCD is:

Area = side length^2
= 13^2
= 169 square feet.