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The diagram shows a figure drawn on a unit grid. What is the area of the shaded region?

 

 May 22, 2020
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We can use something  called Pick's  Theorem  to answer  this

 

Area  =

 

Number of boundary points with integer coordinates  / 2   + Number of  Interior points with integer  coordinates    -1

 

Number of boubary points with integer coordinates  =   6

 

Number of interior points with integer coordinates  = 31

 

So....the area  =

 

6/2  +  31  -  1  =

 

3  +  30  =

 

33 units^2

 

 

 

cool cool cool

 May 22, 2020

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