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 inches, 9 inches B none of the choices 3.5 inches, 8.5 inches 7.5 inches, 4.5 inches 45 iuehas 7 5 inchas

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
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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 inches, 9 inches
B none of the choices
3.5 inches, 8.5 inches
7.5 inches, 4.5 inches
(E
4.5 inches, 7.5 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 inches, 9 inches B none of the choices 3.5 inches, 8.5 inches 7.5 inches, 4.5 inches (E 4.5 inches, 7.5 inches
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