SOLUTION: A=1/2h(B+b)(for b)area of a trapezoid Hints: Isolate b on one side of the equals sign B and b are 2 different variables. B does no = b There is more than 1 correct answer

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: A=1/2h(B+b)(for b)area of a trapezoid Hints: Isolate b on one side of the equals sign B and b are 2 different variables. B does no = b There is more than 1 correct answer      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 77203: A=1/2h(B+b)(for b)area of a trapezoid
Hints:
Isolate b on one side of the equals sign
B and b are 2 different variables. B does no = b
There is more than 1 correct answer to this question.
Your answer will be a formula, not a number.
b=

Found 2 solutions by Earlsdon, tutorcecilia:
Answer by Earlsdon(6287) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
A+=+%281%2F2%29h%28B%2Bb%29 for b. First, multiply both sides of the equation by 2.
2A+=+h%28B%2Bb%29 Now divide both sides by h.
2A%2Fh+=+B%2Bb Finally, subtract B from both sides.
%282A%2Fh%29-B+=+b This can be simplified to:
b+=+%282A-hB%29%2Fh

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
A=1/2h(B+b) [multiply each side by "2" in order to cancell "1/2"]
(2)A=(2)(1/2)h(B+b)
2A=h(B+b)
(1/h)2A=(1/h)h(B+b) [multiply each side by "1/h" in order to cancell the h-term
(2A)/h -B=B-B+b
(2A)/h -B=b [subtract the B-term from both sides to cancell the B-term]
.
check by plugging b=(2A/h)-B back into the original equation and solve:
A=1/2h(B+[(2A/h)-B)[cancel wherever possible]
A=A [checks out]