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The area of the trapezoid ABCD is equal to 60. The length of one of of the bases is 7 units greater than the other base, and the height of trapezoid ABCD is equal to 6. What is the legth of the median of trapezoid ABCD

 Apr 13, 2022
 #1
avatar+124592 
+1

Let  x  be one base  and  (x +7)  the other

 

Then

 

area  =  (1/2) (height ) (sum of the bases)     .....so.....

 

60  = (1/2) (6)  ( 2x + 7)

 

60 = 3 (2x + 7)

 

60 / 3  = 2x + 7

 

20  =  2x + 7

 

20 - 7   =2x

 

13 = 2x

 

13/2  = x =  6.5         and the other base  =  x + 7  = 13.5

 

Median length =   (sum of bases) / 2  =   20 / 2   =  10

 

 

cool cool cool

 Apr 13, 2022
 #2
avatar+114 
-2

yea it 10

 Apr 13, 2022

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