The length of the shorter side of a parallelogram is 29 cm. perpendicular line segment, which goes through the point of intersection of the diagonals to the longer side divides this longer side into two segments: 33 cm and 12 cm. what is the area of the parallelogram?

A = 900

The area of a parallelogram can be found by taking its base (b) and multiplying by the height (h). The base has the measure of 33 +12 = 45 cm. Now, you just need to find the height of the parallelogram. The height can be found by using the pythagorean theorem (. 

So, when simplified the height of the parallelogram will be found from 

The height is 20 cm. The base is 45 cm. 45 x 20 = 900.