QQuestionMathematics
QuestionMathematics
Solve the formula for $b_{2}$.
Area of a trapezoid:
A=\frac{1}{2} h\left(b_{1}+b_{2}\right)
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Answer
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Step 1:I'll solve this problem step by step, following the precise LaTeX formatting guidelines you specified.
Step 2:: Identify the given formula
- $$b_{2}$$ is the length of the other parallel side
The area of a trapezoid is given by the equation: Where:
Step 3:: Rearrange the equation to isolate b_{2}
2A = h(b_{1} + b_{2})
Multiply both sides by 2:
Step 4:: Subtract hb_{1} from both sides
2A - hb_{1} = hb_{2}
Step 5:: Divide both sides by h to solve for b_{2}
b_{2} = \frac{2A - hb_{1}}{h}
Final Answer
This formula allows you to calculate the length of the second parallel side of a trapezoid when you know the area, height, and length of the first parallel side.
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