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Question 5 The length of a wire 200 meters long, is t into two pieces. One piece is used to form an equilateral triangle x units in length. The other piece is used to form a square. a) Show that the sides of the square are 50 -x units in length. b) Determine the area of the square in terms of x. c) Determine the value of x so that the area of the square is a maximum.

Question 5 The length of a wire 200 meters long, is t into two pieces. One piece is used to form an equilateral triangle x units in length. The other piece is used to form a square. a) Show that the sides of the square are 50 -x units in length. b) Determine the area of the square in terms of x. c) Determine the value of x so that the area of the square is a maximum.

Elementary Geometry For College Students, 7e
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 9E
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Question 5 The length of a wire 200 meters long, is t into two pieces. One piece is used to form an equilateral triangle x units in length. The other piece is used to form a square. a) Show that the sides of the square are 50 -=x units in length. b) Determine the area of the square in terms of x. c) Determine the value of x so that the area of the square is a maximum.
Transcribed Image Text:Question 5 The length of a wire 200 meters long, is t into two pieces. One piece is used to form an equilateral triangle x units in length. The other piece is used to form a square. a) Show that the sides of the square are 50 -=x units in length. b) Determine the area of the square in terms of x. c) Determine the value of x so that the area of the square is a maximum.
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