Question

Anna is designing the plan of a kitchen using some computer aided design software. the coordinates of the corners of the room on screen are (0,10) (220,10) (0,260) (220,260). she needs to enter the coordinates of the ceiling light, which will be the exactly in the center of the room. what will the coordinates of the light be?

PLEASE HELP ME IF YOU CAN AS SOON AS POSSIBLE. THANK YOU ​

Answer 1

(220,10)

Explanation:

This reminds me of when I was in middle school

Answer 2

(110, 135)

Explanation:

From the coordinates given, the shape of the ceiling is a rectangle.

Width = difference in x-coordinates = 220 - 0 = 220

Length = difference in y-coordinates = 260 - 10 = 250

To find the center of the ceiling, we need to find the centroid (center-point) of the rectangle.

x-coordinate = Half of the width + smallest x-coordinate= (220 ÷ 2) + 0 = 110

y-coordinate = Half of the length + smallest y-coordinate = (250 ÷ 2) + 10 = 135

Therefore, the center of the ceiling is at (110, 135)