Two \(2 \times 3\) rectangles are drawn, as shown. Find the area of their overlap, which is shaded.

Guest May 8, 2020

#1**+1 **

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

Dragan May 8, 2020

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Guest
May 8, 2020