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A running track of 440ft is to be laid out enclosing a football field, the shape of which is a reactangle with semi-circle at each end. If the area of the rectangular portion is to be maximum then the lengths of its sides are

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110ft, 70ft

220ft, 70ft

110ft, 110ft

220ft, 110ft

answer is A.

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Detailed Solution

$2 x + π y = 440$

Area=xy

$2 x = \frac{1}{2} \times 440$

=220

X=110

$π y = \frac{1}{2} \times 440$

=220

$y = \frac{220}{\frac{22}{7}}$

Y = 70

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