A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the remaining will be used to form an equilateral triangle. (a) Find an expression for the sum of the areas of the two figures in terms of x. (b) What is the ratio of the shorter piece to the longer piece if the sum of the areas is a minimum?

A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the remaining will be used to form an equilateral triangle. (a) Find an expression for the sum of the areas of the two figures in terms of x. (b) What is the ratio of the shorter piece to the longer piece if the sum of the areas is a minimum?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 16T

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