SOLUTION: I am trying to figure out (h) in the following problem. A=1/2h(B+b) where as A=80, B=12, and b=8. I have tried it and come up with h=80 but when i plug the number back in it does n

Algebra ->  Expressions-with-variables -> SOLUTION: I am trying to figure out (h) in the following problem. A=1/2h(B+b) where as A=80, B=12, and b=8. I have tried it and come up with h=80 but when i plug the number back in it does n      Log On


   

Question 158181: I am trying to figure out (h) in the following problem. A=1/2h(B+b) where as A=80, B=12, and b=8. I have tried it and come up with h=80 but when i plug the number back in it does not balance out. Please help
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.


80=%281%2F2%29h%2812%2B8%29 Plug in A=80, B=12, and b=8


80=%281%2F2%29h%2820%29 Add


80=h%281%2F2%29%2820%29 Rearrange the terms.


80=h%2820%2F2%29 Multiply


80=h%2810%29 Reduce


80%2F10=h Divide both sides by 20 to isolate h.


8=h Reduce


So the answer is h=8 which means that the height is 8 units.



Check:

A=%281%2F2%29h%28B%2Bb%29 Start with the given equation.


80=%281%2F2%29%288%29%2812%2B8%29 Plug in A=80, h=8, B=12, and b=8


80=%281%2F2%29%288%29%2820%29 Add


80=160%2F2 Multiply


80=80 Reduce. Since the equation is true, this means that we've verified the solution.