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, which of the following equations is true? 18 (A A' (x) 2 B 18 A' (x) = 2 9 + 1 V3 18 X - A'(x) = 18 х + - IV3 A'(x) =

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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, which of the following
equations is true?
A
A' (x) :
18
х —
V3
18
B)
А' (х)
9 + 1V3
18
C) A'(x)
=
a V3
18
х +
- JI
D
A'(x)
=
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, which of the following equations is true? A A' (x) : 18 х — V3 18 B) А' (х) 9 + 1V3 18 C) A'(x) = a V3 18 х + - JI D A'(x) =
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