AP Police SI practice question
The length and breadth of a rectangular field are in the ratio 7:4, and its perimeter is 396 m. Two paths of uniform width 5 m cross each other at the centre of the field, one along the length and one along the breadth. Find the total area of the paths.
From a AP Police SI Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) 965 sq m
Let length = 7k, breadth = 4k.
Perimeter: 2(7k+4k) = 396 => k = 18
Length = 126 m, Breadth = 72 m
Path area = L×w + B×w − w² = 126×5 + 72×5 − 5²
= 630 + 360 − 25
= 965 sq m.
हिंदी में प्रश्न
एक आयताकार खेत की लंबाई और चौड़ाई का अनुपात 7:4 है, और उसकी परिधि 396 मीटर है। 5 मीटर की समान चौड़ाई वाले दो रास्ते खेत के केंद्र पर एक-दूसरे को काटते हैं, एक लंबाई के साथ और एक चौड़ाई के साथ। रास्तों का कुल क्षेत्रफल ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (D) 965 वर्ग मीटर
माना लंबाई = 7k, चौड़ाई = 4k।
परिधि: 2(7k+4k) = 396 => k = 18
लंबाई = 126 मीटर, चौड़ाई = 72 मीटर
रास्ते का क्षेत्रफल = L×w + B×w − w² = 126×5 + 72×5 − 5²
= 630 + 360 − 25
= 965 वर्ग मीटर।
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