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The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.

 
 Dec 10, 2024

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The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.    

 

M = [ (12) + (12 + 16) ] / 2    

 

M = 40/2    

 

M = 20     

 

The median of a trapezoid is the average of its two bases.    

In this problem, the area of the trapezoid was irrelevant.    

.    

 Dec 11, 2024
 #1
avatar+1277 
+1
Best Answer

 

The area of a trapezoid is $80$. The length of one base is $16$ units greater than the other base, and one base of the trapezoid is $12$. Find the length of the median of the trapezoid.    

 

M = [ (12) + (12 + 16) ] / 2    

 

M = 40/2    

 

M = 20     

 

The median of a trapezoid is the average of its two bases.    

In this problem, the area of the trapezoid was irrelevant.    

.    

Bosco Dec 11, 2024

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