Two \(2 \times 3\) rectangles are drawn, as shown. Find the area of their overlap, which is shaded.
Let the crosspoint of the diagonals of the rhombus be an N.
Let the crosspoint of AD and BF be an M
BN = [sqrt(2² + 3²)] / 2 = 1.802775638
tan(∠FBD) = 2 / 3 ∠FBD = 33.69006753°
NM = BN * tan(∠FBD) = 1.201850425
Shaded area A= ( BN * NM ) * 2 = 4.3333333333 units squared