A straight piece of wire 4 meters long is used to make an equilateral triangle and a square, or either one only. The triangle is produced by bending x meters and the remaining wire is bent into a square. To find the value of x, which of the following functions could maximize the total area of both triangle and square means? 3z -4 A Maximizing 7() 36 4 22 (4 - 2) B. Maximizing f(z) = 36 16 *V3 (4- z)² C. Maximizing (2)- 36 16 z²V3, (2- 4) 36 16 D. Maximizing (2) = O A Ов

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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A straight piece of wire 4 meters long is used to make an equilateral triangle and a square, or
either one only. The triangle is produced by bending x meters and the remaining wire is bent
into a square. To find the value of x, which of the following functions could maximize the total
area of both triangle and square means?
3z
4
A Maximizing
f(2) -
36
4
(4 – 2)
S(z):
в Махiтizing
36
16
zv3 (4 – z)²
f(z) -
C. Maximizing
36
16
z*V3, (2 - 4)
f(z) =
D. Maximizing
36
16
B
Transcribed Image Text:A straight piece of wire 4 meters long is used to make an equilateral triangle and a square, or either one only. The triangle is produced by bending x meters and the remaining wire is bent into a square. To find the value of x, which of the following functions could maximize the total area of both triangle and square means? 3z 4 A Maximizing f(2) - 36 4 (4 – 2) S(z): в Махiтizing 36 16 zv3 (4 – z)² f(z) - C. Maximizing 36 16 z*V3, (2 - 4) f(z) = D. Maximizing 36 16 B
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