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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 15P
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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?
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