The side of a square is \((x+4)\) cm, and its area is \(576\) square cm. What is the value of \(x\)?
Answer and explanation
Correct answer: 20
The area of a square equals the square of its side, so \((x+4)^2=576=24^2\). Since a side length must be positive, \(x+4=24\), giving \(x=20\). The value 24 is the side length, not the value of \(x\), so option D is incorrect. Exam tip: take the positive square root when finding a geometrical length.
Frequently asked questions
What is the correct answer to this question?
20
Why is this the correct answer?
The area of a square equals the square of its side, so \((x+4)^2=576=24^2\). Since a side length must be positive, \(x+4=24\), giving \(x=20\). The value 24 is the side length, not the value of \(x\), so option D is incorrect. 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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