The area of a trapezoid is given by the formula a= 1/2(b1+b2)h, where base1 is parallel to the base2 and h is the height. Solve the formula for b2. Show your work.
a= 1/2(b1+b2)h
2a = (b1 + b2)h
...
To solve the formula for b2, we need to isolate the variable b2 on one side of the equation.
First, let's write the formula with b2 on one side:
a = (1/2)(b1 + b2)h
Now, let's simplify the equation:
Multiply both sides by 2 to get rid of the fraction:
2a = (b1 + b2)h
Distribute the h to both terms inside the parentheses:
2a = b1h + b2h
Next, let's isolate b2 by moving b1h to the other side of the equation:
2a - b1h = b2h
Now, let's rearrange the equation to isolate b2:
b2h = 2a - b1h
Divide both sides of the equation by h to get b2 alone:
b2 = (2a - b1h) / h
Therefore, the formula to solve for b2 is:
b2 = (2a - b1h) / h