In a rectangular tile model the sides are (t+3) and (t-4). What is the simplified area?
Answer and explanation
Correct answer: \(t^2-t-12\)
The area of a rectangle is the product of its side lengths: \((t+3)(t-4)\). Using distribution gives \(t^2-4t+3t-12=t^2-t-12\). Therefore, option B is correct. Option A incorrectly adds the middle terms to get \(7t\). Exam tip: while multiplying binomials, write all four products first and then combine like terms.
Frequently asked questions
What is the correct answer to this question?
\(t^2-t-12\)
Why is this the correct answer?
The area of a rectangle is the product of its side lengths: \((t+3)(t-4)\). Using distribution gives \(t^2-4t+3t-12=t^2-t-12\). Therefore, option B is correct. Option A incorrectly adds the middle terms to get \(7t\). Exam tip: while multiplying binomials, write all four products first and then combine like terms.
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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