SOLUTION: The following equation can be used to find the area of a trapezoid. Solve for the variable b: A=1/2h(B+b) I can't seem to figure this one out. I know that B + b represent th

Algebra ->  Linear-equations -> SOLUTION: The following equation can be used to find the area of a trapezoid. Solve for the variable b: A=1/2h(B+b) I can't seem to figure this one out. I know that B + b represent th      Log On


   

Question 117306: The following equation can be used to find the area of a trapezoid. Solve for the variable b:
A=1/2h(B+b)
I can't seem to figure this one out. I know that B + b represent the lenght of the trapezoid and there are four possible solutions we were given:
B=2A/h
b=B(A-1/2h)
b=A-Bh
b=(2A/h)-B
It can't be the first one, because I am not looking for B, but for b.
Any help would be greatly appreciated.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29h%28B%2Bb%29 Start with the given equation


2A=h%28B%2Bb%29 Multiply both sides by 2


2A%2Fh=B%2Bb Divide both sides by h


2A%2Fh-B=b Subtract B from both sides to isolate b


So our answer is b=2A%2Fh-B