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Class 10MathematicsPair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.Expert
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The perimeter of a rectangle is (64) cm and its length is (6) cm more than its breadth. What is the length?

Answer and explanation

Correct answer: (19) cm

Let the length be l cm and the breadth be b cm. From the perimeter, 2(l+b)=64, so l+b=32. The second condition gives l-b=6. Adding the two equations yields 2l=38, hence l=19 cm. Therefore, option C is correct. Exam tip: In perimeter problems, first form and simplify the equation 2(l+b). Option B is incorrect because if the length were 18 cm, the breadth would be 14 cm, giving a perimeter of 64 cm—but this conflicts with the required length difference of 6 cm.

Related tags

Word-ProblemRectangleLinear-EquationsElimination-MethodAlgebraic Methods: Substitution Method And Elimination Method.Algebraic Methods Substitution Method And Elimination MethodPair Of Linear Equations In Two VariablesMathematics
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