A rectangular playground will be built along a straight river

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A rectangular playground will be built along a straight river, so only three sides require fencing. If

200\text{ m}

of fencing material is available, which width

x

of the rectangle (in meters) maximizes the enclosed area? (a)

100

(b)

50

(c)

\dfrac{200}{3}

(d)

25