In the square model of \((2x+1)^2\), what will be the area of the larger square?
Answer and explanation
Correct answer: \(4x^2\)
In the square model, the larger component square has side \(2x\). Therefore, its area is \((2x)^2=4x^2\). In \(2x^2\), the coefficient 2 has not been squared, while \(2x\) is only the side length, not the area. Exam tip: To find the area of a square, square its side length.
Frequently asked questions
What is the correct answer to this question?
\(4x^2\)
Why is this the correct answer?
In the square model, the larger component square has side \(2x\). Therefore, its area is \((2x)^2=4x^2\). In \(2x^2\), the coefficient 2 has not been squared, while \(2x\) is only the side length, not the area. Exam tip: To find the area of a square, square its side length.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Visual models of identities.
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