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What is the area of the trapezoid shown? Express your answer in simplest exact form.


 Apr 20, 2019
 #1
avatar+106533 
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Draw a perendicular to the base from the top right vertex......this will form a right triangle with sides  1  - √3   -  2

 

And the  height = √3

And the distance from the bottom right vertex to the intersection of the perpendicular and the base  = 1

So....by symmetery.....the base length  =  1  +  2    +  1   =    4

 

So.....the area  = (1.2) height * ( sum of base lengths)   =

 

(1/2) * √3  * ( 4 + 2)  =

 

(1/2) (6) (√3) =

 

3√3  units^2

 

 

cool cool cool

 Apr 20, 2019
 #2
avatar+64 
0

thanks!

 Apr 22, 2019

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