SOLUTION: Hi I need help with an area of a trapezoid problem please. The area of a trapezoid is given by A=1/2h(a+b) Solve for a. Not even sure where to start on this one.

Algebra ->  Expressions-with-variables -> SOLUTION: Hi I need help with an area of a trapezoid problem please. The area of a trapezoid is given by A=1/2h(a+b) Solve for a. Not even sure where to start on this one.      Log On


   

Question 202875: Hi I need help with an area of a trapezoid problem please.
The area of a trapezoid is given by
A=1/2h(a+b)
Solve for a.
Not even sure where to start on this one.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29h%28a%2Bb%29 Start with the given equation.


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


2A=ha%2Bhb Distribute


2A-hb=ha Subtract hb from both sides.


%282A-hb%29%2Fh=a Divide both sides by "h" to isolate "a".


So the solution is a=%282A-hb%29%2Fh