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A rectangular table has length 1 m more than its breadth and area 30 square m. What is the breadth?

Answer and explanation

Correct answer: 5 m

This is a quadratic word problem based on the area of a rectangle. Let the breadth be x metres. The length is one metre greater, so it is x + 1 metres. Using area = length × breadth gives x(x + 1) = 30, or x² + x − 30 = 0. Factorising, (x + 6)(x − 5) = 0, so x = −6 or x = 5. A physical breadth cannot be negative, so x = 5 m is the valid solution. Verification gives length = 6 m and area = 6 × 5 = 30 m². Hence option B is correct. The other choices do not satisfy both the one-metre difference and the required area, even if their numerical values appear plausible.

Related tags

Quadratic EquationsWord ProblemsRectanglesAreaWord Problems And ApplicationsMathematicsClass 10 Mcq

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