In the rectangle model of ((p+2)(p+5)), what is the area of the small corner rectangle?
Answer and explanation
Correct answer: \(10\)
In the rectangle model, the small corner rectangle has side lengths \(2\) and \(5\). Therefore, its area is \(2\times5=10\). The terms \(2p\) and \(5p\) represent rectangles with one side \(p\), so they are not the corner rectangle’s area. Exam tip: in an area model, identify both side lengths of each small region before multiplying.
Frequently asked questions
What is the correct answer to this question?
\(10\)
Why is this the correct answer?
In the rectangle model, the small corner rectangle has side lengths \(2\) and \(5\). Therefore, its area is \(2\times5=10\). The terms \(2p\) and \(5p\) represent rectangles with one side \(p\), so they are not the corner rectangle’s area. Exam tip: in an area model, identify both side lengths of each small region before multiplying.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Visual models of identities.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
