SOLUTION: The formula for the area of a trapezoid is A =1/2h(b, + b2). Express b1, in terms of A, h, and b2

Algebra ->  Equations -> SOLUTION: The formula for the area of a trapezoid is A =1/2h(b, + b2). Express b1, in terms of A, h, and b2      Log On


   

Question 1192852: The formula for the area of a trapezoid is A =1/2h(b, + b2). Express b1, in terms of A, h, and b2
Found 2 solutions by Edwin McCravy, Boreal:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

A%22%22=%22%22expr%281%2F2%29h%28b%5B1%5D+%2B+b%5B2%5D%29

Clear the fraction by multiplying both sides by 2:

2%2AA%22%22=%22%222%2Aexpr%281%2F2%29h%28b%5B1%5D+%2B+b%5B2%5D%29

2A%22%22=%22%22cross%282%29%2Aexpr%281%2Fcross%282%29%29h%28b%5B1%5D+%2B+b%5B2%5D%29

2A%22%22=%22%22h%28b%5B1%5D+%2B+b%5B2%5D%29

2A%22%22=%22%22h%2Ab%5B1%5D+%2B+h%2Ab%5B2%5D%29

2A-h%2Ab%5B2%5D%22%22=%22%22h%2Ab%5B1%5D

Multiply both sides by 1%2Fh:

expr%281%2Fh%29%282A-h%2Ab%5B2%5D%29%22%22=%22%22expr%281%2Fh%29h%2Ab%5B1%5D

expr%281%2Fh%29%282A-h%2Ab%5B2%5D%29%22%22=%22%22expr%281%2Fcross%28h%29%29cross%28h%29%2Ab%5B1%5D

expr%281%2Fh%29%282A-h%2Ab%5B2%5D%29%22%22=%22%22b%5B1%5D

b%5B1%5D%22%22=%22%22expr%281%2Fh%29%282A-h%2Ab%5B2%5D%29

Edwin

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
clear fractions
2A=h(b1+b2). Divide by h
(2A/h)=b1+b2
subtract b2
(2A/h)-b2=b1