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The length of a rectangular garden is \(x+5\) metres and its breadth is \(x+3\) metres. Which quadratic expression represents its area?

Answer and explanation

Correct answer: \(x^2+8x+15\)

Area = length × breadth = \((x+5)(x+3)\) = \(x^2+3x+5x+15=x^2+8x+15\). The option \(x^2+15\) misses the middle terms. Exam tip: add both cross terms carefully.

Related tags

Quadratic ExpressionsAlgebraic IdentitiesBinomial MultiplicationArea ApplicationClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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