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Find the perimeter of the trapezoid below.

 

 Apr 4, 2021
 #1
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to solve the perimeter of this trapezoid, we'll first need to calcuate the value of the height. we can do this by using the Pythagorean Theorem.

 

(19 - 13)^2 + h^2 = 10^2

6^2 + h^2 = 100

36 + h^2 = 100

h^2 = 64

h = 8

 

so now we can calculate the perimeter.

 

to do this, we simply just add 13 + 10 + 19 + 8 to get 50, and we're done!

 

 

hope this helped! sorry if my explanations weren't too clear. please let me know if you are confused about anything i did smiley

 Apr 4, 2021
 #2
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You can't assume the part on the left is a square so you have to use Pythagoras' Theorem to determine the height

 

102 = 62 + x2     from this we find that that the height is 8 ft  

 

So the perimeter is (starting at the top and going clockwise)   13 + 10 + 19 + 8  

 

Perimeter  =  50 ft  

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 Apr 4, 2021

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