In a diagram, two \(ab\) rectangles are added with \(a^2\) and \(b^2\) squares. What will be the total area?
Answer and explanation
Correct answer: \(a^2+2ab+b^2\)
The total area is the sum of the areas of all parts: \(a^2+ab+ab+b^2=a^2+2ab+b^2\). Therefore, option C is correct. Option A leaves out the areas of the two \(ab\) rectangles. Exam tip: in visual-area questions, list the area of each smaller region before adding them.
Frequently asked questions
What is the correct answer to this question?
\(a^2+2ab+b^2\)
Why is this the correct answer?
The total area is the sum of the areas of all parts: \(a^2+ab+ab+b^2=a^2+2ab+b^2\). Therefore, option C is correct. Option A leaves out the areas of the two \(ab\) rectangles. Exam tip: in visual-area questions, list the area of each smaller region before adding them.
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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