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What is the total area of the figure below?

 

 Mar 17, 2021
 #1
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help me the dude with a letter I in his profile 

 Mar 17, 2021
 #3
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sure... but next time you should just post a separate question, i'll see it there too.

 

we know that angle 1 plus angle 2 must equal 90, because they are on the same line as the other right angle.

 

if angle 2 is 40, that means angle 1 must be 90 - 40 = 50, the second option.

 

 

hope this helped! please let me know if you are confused about anything i did smiley

idyllic  Mar 17, 2021
 #2
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the area of this figure is simply the area of the trapezoid plus the area of the triangle.

 

to find the area of the trapezoid, we do \(\frac{10+16}{2} \cdot 9\) = \(\frac{26}2 \cdot 9\) = \(\frac{234}2 \) = \(117\).

 

now, to find the area of the triangle, we do \(\frac{6 \cdot 8}{2} = \frac{48}{2} = 24\).

 

117 + 24 = 141, so i believe your answer is 141. 

 

 

hope this helped! sorry if any of my explanations weren't too clear. if you have any questions about anything i did, feel free to ask! :)

 Mar 17, 2021

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