The side of a square is \(x+6\) cm and its area is \(1225\ \text{cm}^2\). If the side length is positive, what is the value of \(x\)?
Answer and explanation
Correct answer: 29
The area of a square is (side)², so \((x+6)^2=1225=35^2\). Since a side length is positive, \(x+6=35\), giving \(x=35-6=29\). The negative root, \(x+6=-35\), is not valid for a length. Exam tip: Take the positive square root when finding a geometrical length from its area.
Frequently asked questions
What is the correct answer to this question?
29
Why is this the correct answer?
The area of a square is (side)², so \((x+6)^2=1225=35^2\). Since a side length is positive, \(x+6=35\), giving \(x=35-6=29\). The negative root, \(x+6=-35\), is not valid for a length. Exam tip: Take the positive square root when finding a geometrical length from its area.
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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