A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into the shape of an equilateral triangle. I we let x be a side of the equilateral triangle, and the sum of the areas of these figures is to be a minimum, what are the lengths of the circle and equilateral triangle respectively ? A 3.5 inches, 8.5 inches B 7.5 inches, 4.5 inches 4.5 inches, 7.5 inches 3 inches, 9 inches

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into the shape of an equilateral triangle. If
we let x be a side of the equilateral triangle, and the sum of the areas of these figures is to be a minimum, what are the lengths of
the circle and equilateral triangle respectively ?
A 3.5 inches, 8.5 inches
B) 7.5 inches, 4.5 inches
C) 4.5 inches, 7.5 inches
3 inches, 9 inches
Transcribed Image Text:A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into the shape of an equilateral triangle. If we let x be a side of the equilateral triangle, and the sum of the areas of these figures is to be a minimum, what are the lengths of the circle and equilateral triangle respectively ? A 3.5 inches, 8.5 inches B) 7.5 inches, 4.5 inches C) 4.5 inches, 7.5 inches 3 inches, 9 inches
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