WXYZ is a parallelogram where angle W is half of a right angle WX = 10, and XY = 18, What is the area of the parallelogram.
W 10 X
18
Z Y
1/2 of 90 = 45°
Because we have a parallelogram, angle Y = angle W and YZ = 10
So
Area = XY * YZ * sin (45°) = (18) (10) sqrt (2) / 2 = 90*sqrt (2)