A wire 40 cm long is bent to form a rectangle in which the length is twice its breadth

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A wire 40 cm long is bent to form a rectangle in which the length is twice its breadth. Find the breadth (in cm) of the rectangle for which the enclosed area is maximum. (a)

5

(b)

\dfrac{10}{3}

(c)

\dfrac{20}{3}

(d)

8

Related theory

Optimization
Linear Inequalities
Applied optimization
Maxima and minima

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