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The cells in the grid each have length 1. What is the area enclosed by the geoboard quadrilateral below? Express your answer as a decimal rounded to the nearest tenth.

 Dec 17, 2018
 #1
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We can use something known as "Pick'sTheorem" to  answer this...

 

When the vertices of a figure have integer coordinates [ like this one]....the area is given by

 

(Number of  integer coordinates on  the boundary / 2 ) +( number of interior  points with integer coordinates) - 1 

 

Number of integer coordinates on the boundary   =  5

Number  of integer coordinates  in the interior = 21

 

So....the area is

 

(5/2)  + 21 - 1   =

 

2.5 + 20  =

 

22.5 units^2

 

 

cool cool cool

 Dec 17, 2018

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