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A square field has a side length of x metres. Its area is 729 square metres. What is the value of x?

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Answer and explanation

Correct answer: 27

The area of a square is x^2, so x^2=729. Since 729=27^2 and a side length must be positive, x=27 metres. The negative root, -27, is not valid for a length. Exam tip: When the area of a square is given, find its side by taking the positive square root.

Related tags

Quadratic EquationsSquare AreaWord ProblemsPositive Square Root

Frequently asked questions

What is the correct answer to this question?

27

Why is this the correct answer?

The area of a square is x^2, so x^2=729. Since 729=27^2 and a side length must be positive, x=27 metres. The negative root, -27, is not valid for a length. 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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