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The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0). What is the pentagon's area?

 Mar 30, 2021
 #1
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See the following :

 

 

We can  split the  area  into  two figures

 

Triangle BCD  with  a height  of 3 and a  base of 5

Area  =  (3 * 5)  / 2    =  7.5

 

Trapezoid ABDE  with a height of 5  and bases of 8 and 5

Area = (1/2) (5) ( 5 + 8)  =  65/2   = 32.5

 

Total area  =  ( 7.5  + 32.5)  =  40

 

cool cool cool

 Mar 30, 2021

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