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What is the area of this polygon? 

 

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[    ] units2

Please help! I'm really confused :(

thank you!

flanspawn  May 11, 2018
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The area of the polygon is the number of little squares that fit into the polygon.

 

We can split the polygon up like this:

 

 

area of polygon  =  area of rectangle + area of triangle

 

area of rectangle  =  base * height

area of rectangle  =  9 * 2

area of rectangle  =  18        (You can count the squares to get the same answer.)

 

area of triangle  =  (1/2) * base * height

area of triangle  =  (1/2) * 9 * 6

area of triangle  =  27

 

area of polygon  =  area of rectangle + area of triangle

area of polygon  =  18 + 27

area of polygon  =  45

 

There are  45  square units in the polygon.

hectictar  May 11, 2018

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