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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(

 Apr 13, 2022
 #1
avatar+115 
-2

Yea i need a lil help on this 

 Apr 13, 2022
 #2
avatar+30 
+3

I am so sure this has been posted, but the picture was gone, so I'm just gonna do it. 

First, we need to find the height and the bases.

How?. We can see that there is a 30-60-90 triangle!

Then, we can find the height. It is \(\sqrt{3}\)(You know this right?) Then the BIG base is 2+1+1 = 4.

Then using the formula, you get \(\frac{2+4}{2}\sqrt{3}\) so the answer is \(3\sqrt{3}\)

Hope this helped!

 Apr 13, 2022
 #3
avatar+578 
+2

Yep, I was gonna say the same thing !!!!!

 

Also if you would like a different method of approaching the problem, Melody and CPhill have answered it in the link below:

 

https://web2.0calc.com/questions/what-is-the-area-of-the-trapezoid-shown-express-your-answer-in-simplest-exact-form

 Apr 13, 2022
 #4
avatar+124598 
+1

Thanks, guys   !!!!

 

 

cool cool cool

CPhill  Apr 13, 2022
 #6
avatar+30 
+2

Yeah, I wasn't sure if that was the question or not, and to not cause confusion I didn't post it.

IAmBadAtSolving  Apr 13, 2022
 #5
avatar+115 
-2

Yes i thought so but again i didint go check

 Apr 13, 2022

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