Find the length BD¯¯¯¯¯¯¯¯ in the polygon on the coordinate plane.
(1 point)
To find the length of \(BD\), we first need to find the coordinates of point \(B\) and point \(D\).
From the graph, we can see that point \(B\) is located at \((-2, 2)\) and point \(D\) is located at \((-2, -2)\).
To find the length of \(BD\), we use the distance formula, which is given by:
\(d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)
Substitute the coordinates of points \(B\) and \(D\) into the formula:
\(d = \sqrt{(-2-(-2))^2 + (-2-2)^2}\)
\(d = \sqrt{0^2 + (-4)^2}\)
\(d = \sqrt{0 + 16}\)
\(d = \sqrt{16}\)
\(d = 4\)
Therefore, the length of \(BD\) is \(4\).