Question

What is the base of the trapezoid with an area of 150 a height of 10 and a base of 14?

Answer 1

The formula for the area of a trapezoid is:

A= (a+b)/2*h

A=150
h=10
b=14
a=?

So we need to solve for a. Let's plug in the values that we do know...

A= (a+b)/2*h
150=(a+14)/2*10
150=(a/2+14/2)*10
150=(a/2+7)*10
Divide both sides by 10
15=a/2+7
subtract 7 from both sides
8=a/2
multiply both sides by 2
16=a

The other base is 16

Answer 2

A is the area of a trapezoid
a and b are the lengths of its two bases
h is the height 
Let x be the shorter base.
Then the longer base is x+2 
Substituting the following into the formula
a = x

b = x+2
A = 150
h = 10
we have 

Solving for x, we have
So the shorter one is 14 meters long, the longer one is 16 meters long
I hope i helped you :-0