MediumMathematicsHigh School (9–10)GeneralAlgebra › Quadratic EquationsNumericalword problemBoard ExamSAT
A rectangular field is 3 m longer than it is wide, and its area is 50 m².
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A rectangular field is longer than it is wide, and its area is . Find its width and its length, to 2 decimal places.
Need a reminder? The key ideaShow
The roots of , with , are . Read , and with their signs, work out first, and check each root in the problem.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The equation. , so .
Step 2. The discriminant. , and .
Step 3. The formula. . A width cannot be negative, so .
Step 4. The length. . Check: .
Answer: width about , length about .
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