Subject
Quantitative Aptitude
Topic
Miscellaneous
The diagonal of a rectangle is √41 cm and its area is 20cm2. What is the perimeter of the rectangle?
The diagonal of a rectangle is √41 cm and its area is 20cm2. What is the perimeter of the rectangle?
ক)
16cmখ)
17cmগ)
220cmঘ)
18cmExplanation
ধরি, আয়তক্ষেত্রটির দৈর্ঘ্য x সে.মি এবং প্রস্থ y সে.মি প্রশ্নমতে, √(x 2 + y 2 ) = √41 ⇒ x 2 + y 2 = 41 এবং xy = 20 এখন, (x+y) 2 = x 2 + y 2 + 2xy = 41 + 2 × 20 = 81 ⇒ (x+y) 2 = 81 ⇒ (x+y) = √81 = 9 ∴ আয়তক্ষেত্রের পরিসীমা = 2(x+y) = 2 × 9 = 18cmRelated questions
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