Problem 25 of 35alg-025
The area of a trapezoid is , where is the height and and are the parallel sides. Which expression gives in terms of , and ?
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Solution walkthrough2:11
- Solving for means getting alone. Treat the other letters as numbers and undo what is done to .
- The one half multiplies everything on the right. Multiply both sides by to remove it: .
- Now multiplies the whole bracket. Divide both sides by : .
- Last, is added to . Subtract from both sides: .
- Test with numbers. If , , , then . The new formula gives .
- Traps: subtracting before dividing by , dividing by instead of multiplying, and subtracting .