4. A piece of wire 10 ft long is cut into two piece. One piece is bent into the shape of a circle and the other into a shape of a square. How should a wire be cut so that (a) the combined area of the two figures is as small as possible; (b) the combined area of the two figures is as large as possible? Ans. (a) radius of circle is ft (b) radius of circle is ft 10 length of side of square is- ;ft there is no square n+4

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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4. A piece of wire 10 ft long is cut into two piece. One piece is bent into the
shape of a circle and the other into a shape of a square. How should a wire
be cut so that (a) the combined area of the two figures is as small as
possible; (b) the combined area of the two figures is as large as possible?
Ans. (a) radius of circle is ft
(b) radius of circle is ft
n+4
10
length of side of square is
there is no square
n+4 ft
Transcribed Image Text:4. A piece of wire 10 ft long is cut into two piece. One piece is bent into the shape of a circle and the other into a shape of a square. How should a wire be cut so that (a) the combined area of the two figures is as small as possible; (b) the combined area of the two figures is as large as possible? Ans. (a) radius of circle is ft (b) radius of circle is ft n+4 10 length of side of square is there is no square n+4 ft
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