Given the coordinates (3, -2), (11, -2), (3, -4), and (11, -4), what is the length of the base of the quadrilateral, in cm? (1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

To find the length of the base of the quadrilateral, we need to find the distance between the points where it intersects the x-axis. Looking at the coordinates given, the two points that lie on the x-axis are (3, -2) and (3, -4).

To find the distance between these two points, we use the formula for distance between two points in a plane:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:
Distance = sqrt((3 - 3)^2 + (-4 - (-2))^2)
Distance = sqrt(0^2 + (-2)^2)
Distance = sqrt(0 + 4)
Distance = sqrt(4)
Distance = 2

Therefore, the length of the base of the quadrilateral is 2 cm.

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