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A trapezoid is 64cm^2. The height is 12 cm and one base is 4cm. What is the length of the missing base?

 Feb 26, 2020
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Area (trapezoid)   =     (1/2) height * ( sum of base lengths)

 

64  = (1/2) (12)  ( 4  + B)     

 

64  =  6 ( 4 + B)     divide both sides  by 6

 

64/6  = 4 + B

 

32/3  = 4  + B

 

32/3  = 12/3  + B    subtract 12/3  from both sides

 

20/3 cm  =   B  =  the  missing base length

 

 

cool cool cool

 Feb 26, 2020

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