View the step-by-step solution to:

# A 12 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the

A 12 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
(a) Express the sum of the areas of the squares in terms of the lengths x (smaller piece) and y (larger piece). S =
(b) What is the constraint equation relating x and y?
= 120
(c) Does this problem require optimization over an open or closed interval?

(d) Solve the optimization problem. x = in. y = in.

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

### -

Educational Resources
• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents