A wire 5 meters long is cut into two pieces. One piece is bent into an equilateral triangle for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used for each: For the equilateral triangle:  For the circle:  Where should the wire be cut to maximize the total area? Again, give the length of wire used for each: For the equilateral triangle:  For the circle:

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
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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 A wire 5 meters long is cut into two pieces. One piece is bent into an equilateral triangle for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used for each:
For the equilateral triangle: 
For the circle: 

Where should the wire be cut to maximize the total area? Again, give the length of wire used for each:
For the equilateral triangle: 
For the circle:

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