Math New Drill : Level 1 : Geometry(Plane figure) Problem2(6) ATOMIGAKUEN-2014

Find the area of parallelogram ABCD of the figure below.

Answer

 32 cm²

Solution

∠BAC= 180 - 75 × 2 = 30 degrees as shown in the figure below. 

AC : CE = 2 : 1. 

Thus CE = 8/2 = 4 cm. 

Therefore the area of parallelogram ABCD = 8 × 4 / 2 × 2 = 32 cm².