Look at the square ABCD below. A(- 2, 0) B(0, 6) C(6,4) and D(4, - 2)
(1 point)
5
What is its perimeter?
8sqrt(40)
8sqrt(10)
4sqrt(80)
4sqrt(10)
To find the perimeter of the square, we need to calculate the distance between each pair of points and then add them up.
The distance between points A and B can be found using the distance formula: √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(-2 - 0)^2 + (0 - 6)^2]
= √[4 + 36]
= √40
Similarly, the distance between points B and C, C and D, and D and A is also √40.
Therefore, the perimeter of the square is:
4 * √40 = 8√40
So, the correct answer is 8√40.