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The rectangle below has been divided into unit squares.  Find the total area of the blue shaded region, in square units.

 

 Feb 10, 2024
 #1
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We can use  somethng called "Pick's Theorem"

 

Lattice point =  a point defined by the intersection of  grid  lines

 

Interior  lattice points   =  17

 

Boundary lattice points =   8

 

Area =  interior lattice points  + boundary lattice points / 2     - 1   =

 

17 + 8/2  -  1    =

 

14 + 4   - 1     =

 

20  

 

 

cool cool cool

 Feb 10, 2024
edited by CPhill  Feb 11, 2024

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