What is the missing length so we have an area of shaded region which equals 114.95 mm with a small two on top they are wanting to know what W equals in millimeters and on the bottom we have a 12.1 mm
To calculate the missing length W, we need to first find the area of the shaded region. The shaded region is a trapezoid with bases 12.1 mm and W mm, and height 2 mm.
The formula for the area of a trapezoid is (1/2) * (sum of bases) * height.
So, the area of the shaded region is:
Area = (1/2) * (12.1 + W) * 2
114.95 = (1/2) * (12.1 + W) * 2
114.95 = (12.1 + W)
Now, we can solve for W:
114.95 = 12.1 + W
W = 114.95 - 12.1
W = 102.85 mm
Therefore, the missing length W is 102.85 mm.