Given the coordinates (7,−3) , (7,−8) , (11,−4) , and (11,−9) , what is the length of the vertical sides of the quadrilateral, in cm

The vertical sides of the quadrilateral are the sides that have the same x-coordinate.

The two vertical sides are:
1. Side with coordinates (7,-3) and (7,-8)
2. Side with coordinates (11,-4) and (11,-9)

To find the length of these sides, we use the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

1. For the first side:
Distance = sqrt((7-7)^2 + (-8+3)^2) = sqrt(0 + 25) = sqrt(25) = 5 cm

2. For the second side:
Distance = sqrt((11-11)^2 + (-9+4)^2) = sqrt(0 + 25) = sqrt(25) = 5 cm

Therefore, the length of both vertical sides is 5 cm.