Question

If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x – 24, what is the value of x? show equations and all work that leads to your answer.

Answer 1

The length of the midsegment of a trapizoid is equal to the average of the 2 bases, therefore...

`((2x+7)+5)/(2) =6x+24`
And From that point on you use algebra to solve the problem.

`(2x+12)/(2) =6x+24`

`x+6=6x+24`
`6=5x+24`
`6=5x+24`
`-18=5x`
`x= (-18)/(5)`
I Hope this answer helps