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 ?
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
How many of the following rectangle cannot be divided in two equal parts which can be rearranged to form a square?
16×9
18×8
24×6
36×4
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