March 4, 2018 2:35 PMTopic starter
If three sides of a rectangular park have a total length of 400 ft, then area of park is maximum when length(in ft) of its longer side is ?
November 19, 2018 12:41 AM
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March 7, 2022 5:38 PM
Amazing list of Questions and Answers...
December 27, 2022 12:34 PM
A cube is divided into two parts by a plane passing through three non-adjacent vertices. Find the ratio of volume of the smaller part to that of larger one.
Let the length and breadth of the park be l and b, l > b
Case 1: 2l + b = 400
Area = lb. Area is maximum when 2l * b is maximum, which is maximum when 2l = b
=> l = 100, b = 200. Which can't happen since l > b
Case 2: l + 2b = 400
Area = lb. Area is maximum when l *2 b is
maximum, which is maximum when l = 2b
=> l = 200, b = 100.
Hence the length of the longer side is 200 ft