Question

I need help with this ​

Answer 1

20

Explanation:

Hello There!

So first we need to determine what the formula for area of a trapezoid is

`A=(a+b)/(2) h`

where a and b = bases and h = height

the given information is the area and the two bases

so we plug in the given information and solve for h

`180=(4+14)/(2) h\\4+14=18\\(18)/(2) =9\\180=9h`

divide each side by 9

`(180)/(9) =20\\(9h)/(9) =h`

we're left with

h=20

so we can conclude that the height is 20