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Two long strips of paper are each $2$ inches wide, and they overlap so that the angle between the strips is $20^{\circ}$. What is the number of square inches in the area of the parallelogram formed by the overlap?

 

 Sep 30, 2021
 #1
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The area of overlap is 13/8.

 Sep 30, 2021
 #2
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Here is a good start

 

Area = 2a+2b

 

tan 20 = 2/b      and       sin20=2/(a+b)

 

solve simultaneously then substitute

 Sep 30, 2021

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