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What is the perimeter of the trapezoid shown?

 

 Jul 7, 2022
 #1
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The base of the small right triangle =  5 / sqrt 3  =  (5/3)sqrt (3)

The  side of the triangle = twice the base =      (10/3)sqrt (3)

 

The perimeter = 

 

2 (5)  + 2 ( 5/3) sqrt (3)  + 2 ( 10/3) sqrt (3)  =

 

10 + (10/3) sqrt (3) + (20/3)sqrt (3)  =

 

10 + (30/3) sqrt (3) =

 

10 + 10 sqrt (3)  =

 

10 ( 1 + sqrt (3) ) cm  ≈   27.32 cm

 

cool cool cool

 Jul 7, 2022

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