A rectangle has length \(x+5\) m and width \(x-2\) m. Which quadratic expression represents its area?
Advertisement
Answer and explanation
Correct answer: \(x^2+3x-10\)
Area = length × width = \((x+5)(x-2)\). Expanding gives \(x^2-2x+5x-10=x^2+3x-10\). Option B adds the linear terms incorrectly. Exam tip: multiply each term in one bracket by each term in the other.
Frequently asked questions
What is the correct answer to this question?
\(x^2+3x-10\)
Why is this the correct answer?
Area = length × width = \((x+5)(x-2)\). Expanding gives \(x^2-2x+5x-10=x^2+3x-10\). Option B adds the linear terms incorrectly. Exam tip: multiply each term in one bracket by each term in the other.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Quadratic expressions.
Advertisement