In the area model of \((p+q)^2\), which two parts are always rectangles of equal area?
Answer and explanation
Correct answer: Two \(pq\) rectangles
The model for \((p+q)^2\) has squares of areas \(p^2\) and \(q^2\), along with two rectangles, each measuring \(p\times q\). Hence the two \(pq\) rectangles have equal area. The squares need not be equal. Exam tip: identify the middle term as \(2pq\).
Frequently asked questions
What is the correct answer to this question?
Two \(pq\) rectangles
Why is this the correct answer?
The model for \((p+q)^2\) has squares of areas \(p^2\) and \(q^2\), along with two rectangles, each measuring \(p\times q\). Hence the two \(pq\) rectangles have equal area. The squares need not be equal. Exam tip: identify the middle term as \(2pq\).
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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