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A square park has an area of \(196\) square metres. What is the length of each side?
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Answer and explanation
Correct answer: 14 m
If the side of the square is \(x\) metres, its area is \(x^2\). Thus, \(x^2=196\), giving \(x=\pm14\). Since a length cannot be negative, \(x=14\) metres. Exam tip: when the area of a square is given, find its side by taking the positive square root.
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What is the correct answer to this question?
14 m
Why is this the correct answer?
If the side of the square is \(x\) metres, its area is \(x^2\). Thus, \(x^2=196\), giving \(x=\pm14\). Since a length cannot be negative, \(x=14\) metres. Exam tip: when the area of a square is given, find its side by taking the positive square root.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.
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