Posted by **Sarah** on Monday, April 25, 2011 at 5:06am.

A florist uses wire frames to support flower arrangements displayed at weddings. Each frame is constructed from a wire length 9ft long that is cut into six pieces. the vertical edges of the frame consist of four of the pieces of wire that are each 12 inches long. one of the remaining pieces is bent into a square to form the base of the frame; the final piece is bent into a circle to form the top of the frame. how should the florist cut the wire of the length 9ft in order to minimize the combined area of the circular top and square base of the frame?

I'm not really sure what this is even asking.

- math -
**Reiny**, Monday, April 25, 2011 at 8:21am
I made a diagram according to you description and concluded the following

Since each of the 4 "verticals" is 12 inches, that would leave 5 feet or 60 inches for the circle and the square base

Let the radius of the circle be x feet

then the length for the base would be 5 - 2πx feet

and each side is 5/4 - (1/2)πx

let the total area of top and bottom be A

A = πx^2 + (5/4 - (1/2)πx)^2

differentiate, set that equal to zero and solve for x

I will let you finish the messy part.

## Answer This Question

## Related Questions

- Calculus - A wire 7 meters long is cut into two pieces. One piece is bent into ...
- Calculus - A wire 4 meters long is cut into two pieces. One piece is bent into a...
- Calc - A wire 9 meters long is cut into two pieces. One piece is bent into a ...
- MINIMIZATION PROBLEM (CALC) - A wire 9 meters long is cut into two pieces. One ...
- MINIMIZATION PROBLEM (CALC) - A wire 9 meters long is cut into two pieces. One ...
- math - Juan buys 18 meter of wire. He cuts the wire into pieces of 3 meters long...
- Calculus - A piece of wire 40 m long is cut into two pieces. One piece is bent ...
- math - wire is cut into 2 pieces with one piece 14 feet shorter than other.The ...
- need help - A picture of width 43.0 cm, weighing 52.0 N, hangs from a nail by ...
- PHYSICS - 1)A picture of width 40 cm weighing 40N hangs from a nail by means of ...

More Related Questions