Question

A piece of wire is 40cm long. The wire is cut into two pieces and then each piece is bent into a square. Where should the wire be cut so the total area of the two squares is a minimum? Explain.

Answer #1

A piece of wire 10 m long is cut into two pieces. One piece is
bent into a square and the other is bent into a circle. (a) How
much wire should be used for the square in order to maximize the
total area? & How much wire should be used for the square in
order to minimize the total area?

A piece of wire 26 m long is cut into two pieces. One piece is
bent into a square and the other is bent into a circle.
(a) How much wire should be used for the square in order to
maximize the total area?
(b) How much wire should be used for the square in order to
minimize the total area?

A piece of wire 14 m long is cut into two pieces. One piece is
bent into a square and the other is bent into an equilateral
triangle.
(b) How much wire should be used for the square in order to
minimize the total area?

A piece of wire 5 m long is cut into two pieces. One piece is
bent into a square and the other is bent into an equilateral
triangle.
(b) How much wire should be used for the square in order to
minimize the total area?

A piece of wire 35 long is cut into two pieces . One piece is
bent into a square and the other is bent into an equilateral
triangle. What is the largest possible total area enclosed by the
two pieces?

A piece of wire of length 70 is cut into two pieces. One piece
is bent into a square and the other is bent into a circle. If the
sum of the areas enclosed by each part is a minimum, what is the
length of each part?
To minimize the combined area, the wire should be cut so that a
length of ____ is used for the circle and a length of ______is used
for the square.
(Round to the...

A piece of wire 8 m long is cut into two pieces. One piece is
bent into a square and the other is bent into a circle. (Give your
answers correct to two decimal places. ) How much wire should be
used for the circle in order to maximize the total area? m How much
wire should be used for the circle in order to minimize the total
area? m
show all work

100 cm long wire is cut into two pieces. One of the pieces is
bent into a circle, but square is made from the other wire piece.
How is the 100 cm wire supposed to be cut so that the total
area of the circle and the square will be
(a) the biggest.
(b) the smallest.

100 cm long wire is cut into two pieces. One of the pieces is
bent into a circle, but square is made from the other wire piece.
How is the 100 cm wire supposed to be cut so that the total
area of the circle and the square will be
(a) the biggest.
(b) the smallest.

A piece of wire of length
6161
is cut, and the resulting two pieces are formed to make a
circle and a square. Where should the wire be cut to (a) minimize
and (b) maximize the combined area of the circle and the
square?
(a) To minimize the combined area, the wire should be cut so
that a length of
___
is used for the circle and a length of
___
is used for the square.

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