What is the area of the region where the two rectangles overlap?

Two identical rectangles overlap, as shown below, with their opposite corners overlapping.
Each rectangle has sides of 1 and 2.
What is the area of the region where the two rectangles overlap?

2 Answers

answer Sep 2, 2020 by Tejas Naik

Arctan2=63.43deg
Arctan0.5=26.56deg. Then
Tan(63.43-26.56)=X/1,. X=0.75
T'he overlap àrea is 2-(0.75/2 X 2) =1.25

answer Sep 18, 2020 by anonymous

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