A piece of wire 16 ft. long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. Choose the answer that best indicates the wire lengths that would yield a maximum area. OA. The wire should not be cut; all 16 feet should be used for the circle. OB. The wire should not be cut, all 16 feet should be used for the square. OC. The wire should be cut so that feet are used for the circle and x Allow x to equal 0 or 16, so all the wire may be used for the square or for the circle: Where should the cut be made to make the sum of the areas maximum? (Hint: Remember to use the endpoints of a domain when looking for absolute maxima and minima.) feet are used for the square. (Round to the nearest thousandth as needed.) 16

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.CR: Review Exercises
Problem 9CR: Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside...
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A piece of wire 16 ft. long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed
into a circle.
Choose the answer that best indicates the wire lengths that would yield a maximum area.
OA. The wire should not be cut; all 16 feet should be used for the circle.
OB. The wire should not be cut, all 16 feet should be used for the square.
OC. The wire should be cut so that
feet are used for the circle and
x
Allow x to equal 0 or 16, so all the wire may be used for the square or for the circle: Where should the cut be made to make the sum of the areas maximum? (Hint: Remember to use the endpoints of
a domain when looking for absolute maxima and minima.)
feet are used for the square. (Round to the nearest thousandth as needed.)
16
Transcribed Image Text:A piece of wire 16 ft. long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. Choose the answer that best indicates the wire lengths that would yield a maximum area. OA. The wire should not be cut; all 16 feet should be used for the circle. OB. The wire should not be cut, all 16 feet should be used for the square. OC. The wire should be cut so that feet are used for the circle and x Allow x to equal 0 or 16, so all the wire may be used for the square or for the circle: Where should the cut be made to make the sum of the areas maximum? (Hint: Remember to use the endpoints of a domain when looking for absolute maxima and minima.) feet are used for the square. (Round to the nearest thousandth as needed.) 16
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