Problem 54 of 7
Create and solve a quadratic equation from area context A rectangle has width x, length 2x, and area 72.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
set up product relationship and solve by factoring or formula.
Hidden until you reveal it.
Context must produce a quadratic equation with context-valid positive dimension solution.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Write the area formula using the unknown dimensions.
2. Set the expression equal to the given area.
3. Solve the quadratic and reject noncontextual dimensions.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Keeping negative length solutions.