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A square card has an area of \(361\) square cm. What is the length of one of its sides?
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Answer and explanation
Correct answer: 19 cm
If the side of the square is \(x\) cm, its area is \(x^2\). Thus, \(x^2=361\), so \(x=\sqrt{361}=19\). A side length cannot be negative, so \(-19\) is rejected. Exam tip: When the area of a square is given, find its side by taking the square root.
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What is the correct answer to this question?
19 cm
Why is this the correct answer?
If the side of the square is \(x\) cm, its area is \(x^2\). Thus, \(x^2=361\), so \(x=\sqrt{361}=19\). A side length cannot be negative, so \(-19\) is rejected. Exam tip: When the area of a square is given, find its side by taking the 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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