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The trapezoid shown has a height of length 12 cm a base of length 16 cm, and an area of 144 cm.What is the perimeter of the trapezoid?

 

 Jul 22, 2022
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Area =  (h/2)  ( sum of bases)

 

144  = (12/2) ( 16 + x)

 

144 = 6 ( 16 + x)

 

144/6=  16 + x

 

24  = 16 + x

 

x = 8  = top base

 

Right edge  =  sqrt   [ (16 - 8)^2  + 12^2 ] = sqrt [ 8^2 + 12^2 ]  = sqrt [ 208] = 4sqrt (13)

 

Perimeter =  12 + 16 + 8 + 4sqrt (13)  =   

 

[36 + 4sqrt (13)] cm

 

 

 

cool cool cool

 Jul 22, 2022
edited by CPhill  Jul 22, 2022

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