SOLUTION: the lengths of the bases of a trapezoid are represented by 4x+3 and 6x-9. If the median of a trapezoid measures 32, find x.

Algebra ->  Triangles -> SOLUTION: the lengths of the bases of a trapezoid are represented by 4x+3 and 6x-9. If the median of a trapezoid measures 32, find x.      Log On


   

Question 707260: the lengths of the bases of a trapezoid are represented by 4x+3 and 6x-9. If the median of a trapezoid measures 32, find x.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(Base1 + Base2)/2 = Median ... ie if you average the base lengths, you get the median

(4x+3 + 6x-9)/2 = 32 ... plug in the known/given info and solve for x

4x+3 + 6x-9 = 32*2

4x+3 + 6x-9 = 64

10x-6 = 64

10x = 64+6

10x = 70

x = 70/10

x = 7

Answer: x = 7