Subject
Bank Exam
Topic
Al-Arafah Islami Bank Ltd. - Management Trainee Officer - 2017
If the perimeter of a rectangular garden plot is 34 feet and its area is 60 square feet, what is the length of each of the longer sides ?
If the perimeter of a rectangular garden plot is 34 feet and its area is 60 square feet, what is the length of each of the longer sides ?
ক)
5 feetখ)
6 feetগ)
10 feetঘ)
12 feetExplanation
Solution: প্রশ্নে বলা হচ্ছে, আয়তাকার একটি বাগানের পরিসীমা 34 ফুট এবং ক্ষেত্রফল 60 বর্গফুট হলে বাগানের বৃহত্তর অংশের দৈর্ঘ্য কত ? ধরি, বাগানটির দৈর্ঘ্য x ফুট এবং প্রস্থ y ফুট প্রশ্নমতে, 2(x +y) = 34 => x + y = 34/2 = 17 x + y = 17 .......... (1) আবার, xy = 60 এখন আমরা জানি, (x - y) 2 = (x + y) 2 - 4xy = (17) 2 - 4 60 = 289 - 240 = 49 (x - y) = (x - y) = 7 ........... (2) (1) এবং (2) নং সমীকরণ যোগ করি, x + y = 17 x - y = 7 _____________ 2x = 24 => x = 24/2 = 12 x = 12 অর্থাৎ বাগানের বৃহত্তর অংশের দৈর্ঘ্য 12 ফুট ।Related questions
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