Question

Given the coordinates (3,-2),(11,-2),(3,-4) and (11,-4) what is the length of the base of the quadrilateral, in cm

Answer 1

To find the length of the base of the quadrilateral, we need to calculate the distance between the points with the same y-coordinate.

The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:

$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$

For the given coordinates (3,-2) and (11,-2), the distance formula becomes:

$$d_1 = \sqrt{(11 - 3)^2 + (-2 - (-2))^2}$$
$$d_1 = \sqrt{(8)^2 + (0)^2}$$
$$d_1 = \sqrt{64 + 0}$$
$$d_1 = \sqrt{64}$$
$$d_1 = 8$$

Therefore, the length of the base of the quadrilateral is 8 cm.