A wire 28 cm long is bent to form an isosceles triangle with equal sides each…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A wire 28 cm long is bent to form an isosceles triangle with equal sides each measuring

x

cm and base

(28 - 2x)

cm, where

x

is a whole number. For all values of

x

that form a valid triangle, determine the value of

x

for which the area is greatest. Also find this maximum area.