Question

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)

Answer 1

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.