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.
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What is the correct answer to this question?
(19) cm
Why is this the correct answer?
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.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..
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