Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A running track of 440 m. is to be laid out enclosing a football field, the shape of which is a rectangle with semi circle at each end . If the area of the rectangular portion is to be maximum, find the length of its sides.
Text Solution
Verified by ExpertsThe correct answer is:
2
2 λ + 2 π r = 440
A = λ 2r = – 2 π r 2 + 440r
= – 4 π r + 440 = 0
at r = 
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