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Find the area of the shaded polygons below:

 

 

 Feb 3, 2021
 #1
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We can use  something  known as Pick's Theorem  here

 

The black points are  known as  lattice  points

 

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

 

First  figure

 

Interior lattice points  = 6

Boundary lattice points   = 6

 

Area  = 6 + 6/2    -1      =   6 + 3   - 1     =   8

 

 

Second  figure

 

Interior lattice points  = 3

Boundary lattice points   =  5

 

Area  =    3  +  5/2    -  1   =    3 + 3/2  =    4.5

 

 

cool cool cool

 Feb 3, 2021

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