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What is the area of the trapezoid shown? Express your answer in simplest exact form.
[asy] unitsize(1.5cm);pair a=(0,0); pair b=(1,sqrt(3)); pair c=(3,sqrt(3)); pair d=(4,0);draw(a--b--c--d--a);label(

 

I know that the base is 4 but I don't know the height.

 Apr 16, 2022
 #1
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Your base is  correct   !!!!

 

Draw a an altitude from the top right vertex to the base

 

This forms a 30-60-90  right triangle......which has sides of 1  , sqrt 3   and 2

 

sqrt 3   is the altitude  (height)

 

Can you take it  from  there ???

 

 

cool cool cool

 Apr 16, 2022
 #2
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Thank you!

Guest Apr 16, 2022
edited by Guest  Apr 16, 2022

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