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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