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The side length of a square is \(x+12\) cm, and its area is \(1764\) square cm. What is the value of \(x\)?
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Answer and explanation
Correct answer: 30
The area of a square is \((\text{side})^2\), so \((x+12)^2=1764=42^2\). Since a side length must be positive, \(x+12=42\), giving \(x=30\). Option D is the side length, not the value of \(x\). Exam tip: take the positive square root when finding a geometrical length.
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What is the correct answer to this question?
30
Why is this the correct answer?
The area of a square is \((\text{side})^2\), so \((x+12)^2=1764=42^2\). Since a side length must be positive, \(x+12=42\), giving \(x=30\). Option D is the side length, not the value of \(x\). Exam tip: take the positive square root when finding a geometrical length.
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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