Question

A square garden has the end points listed below. plot and label these points on the grid: a (-7, 6) b (-2, -6) c (10, -1) d (5, 11) connect the points to create square abcd. use the pythagorean theorem to find the side length, s, of square abcd in feet. area = a2 b2 = c2 where c is the side length, s. s = feet 4. use the area formula, = 2, to find the area of square abcd. a = feet

Answer 1

To find the side length of the square ABCD, use the Pythagorean Theorem. Calculate the lengths of AB and BC using the coordinates of points A, B, C. Use the Pythagorean Theorem to find the length of AC, which is the square root of AB^2 + BC^2. AC will be the side length of the square ABCD.

Step-by-step explanation:

To find the side length of the square ABCD, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse. In this case, AB and BC are the legs of the right triangle, and AC is the hypotenuse. So we have AB^2 + BC^2 = AC^2. We can substitute the coordinates of the points to find the lengths of AB and BC. Once we find AC, we can use it as the side length of the square.

1. Calculate the lengths of AB and BC using the coordinates of points A, B, C.
2. Use the Pythagorean Theorem to find the length of AC, which is the square root of AB^2 + BC^2.
3. AC will be the side length of the square ABCD. Convert it to feet if necessary.
4. To find the area of the square, use the formula: area = s^2, where s is the side length of the square.