In a square of side (a+2b), what is the area of the small square?
Answer and explanation
Correct answer: \(4b^2\)
In the standard visual model, the small square has side \(2b\). Hence, its area is \((2b)^2=4b^2\). The expression \(2ab\) is the area of a rectangle with sides \(a\) and \(2b\), while \(a^2\) represents the area of a square with side \(a\). Exam tip: find the area of a square by squaring its side length.
Frequently asked questions
What is the correct answer to this question?
\(4b^2\)
Why is this the correct answer?
In the standard visual model, the small square has side \(2b\). Hence, its area is \((2b)^2=4b^2\). The expression \(2ab\) is the area of a rectangle with sides \(a\) and \(2b\), while \(a^2\) represents the area of a square with side \(a\). Exam tip: find the area of a square by squaring 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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