the diagonal of a parallelogram is 16.5 meters. It makes an angle of 36 degrees 10 minutes with the shorter side and 14 degrees 30 minutes with the longer side. Find the perimeter and area of the parallelogram?

Solution:

The longer side: x

The shorter side: y

According to sine theorem, the three angles are 14.5 degree, 36.17 degree, 129.33 degree.

So

y/sin(14.5) = x/sin(36.17) = 16.5/sin(129.33)

x = 12.59

y = 5.34

So

The longer side: 12.59

The shorter side: 5.34