What area is formed by joining an (x) by (x) square and an (x) by (8) rectangle?
Answer and explanation
Correct answer: \(x^2+8x\)
The area of the square is \(x\times x=x^2\), and the area of the rectangle is \(x\times 8=8x\). Therefore, the total area of the joined figure is \(x^2+8x\). In \(x^2+64\), the 8 has incorrectly been squared. Exam tip: for a composite figure, add the areas of all its parts.
Frequently asked questions
What is the correct answer to this question?
\(x^2+8x\)
Why is this the correct answer?
The area of the square is \(x\times x=x^2\), and the area of the rectangle is \(x\times 8=8x\). Therefore, the total area of the joined figure is \(x^2+8x\). In \(x^2+64\), the 8 has incorrectly been squared. Exam tip: for a composite figure, add the areas of all its parts.
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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