Question: A wire that is 16 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into

A wire that is 16 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. Suppose that the side length (in centimeters) of one square is x, as shown below. 16 cm X (a) Find a function that gives the total area A (x) enclosed by the two squares (in square centimeters) in terms of x. Ax = 2X - 8x + 16 (b) Find the side length x that minimizes the total area of the two squares. Side length x : centimeters

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Please solve the circle. SECTION 1.6 Mathematical Models: Building Functions 109 A rectangle has one corner in quadrant I on the graph of y = 16 - x, another at the origin, a third on the positive...

270 Chapter 4 Applications of Derivatives c. What is the largest area the rectangle can have, and what are its dimensions? 12. Find the volume of the largest right circular cone that can be in- X...

If anyone could help me with these questions, please do so! Also please provide detailed and correct solutions on paper. Thank you so much! WK Exit Fullscreen la) Sketch a possible distance curve for...

If anyone could help me with these questions, please do so! Also please provide detailed and correct solutions on paper. This is really important to me and I know it's a lot of work but please! Thank...

13. [-11 Points] I DETAILS I SCALCET94.7.036. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER A rectangle has its base on the X-axis and its upper two vertices on the parabola y = 25 x2. What is the...

CALCULUS WORKSHEET ON OPTIMIZATION Work the following on notebook paper. Write a function for each problem, and justify your answers. Give all decimal answers correct to three decimal places. 1. Find...

I have the answers, but I don't know how to get them 1) a = 75, b = -75 2) a = 20, b = 10 3) l = 25, w = 25 5) base = 20, height = 10 6) Max. Volume = .5 x 2 x 2 = 2 3 m 7) length = 1060.6, width =...

B (2) A wire of 16ft long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is a...

(188) Hw 3.1 (Homework) (188) Hw 3.2 (Homework) ' g A soft-drink vendor at a popular beach analyzes his sales records and nds that if he sells x cans of soda pop in one day, his prot {in dollars} is...

Question 1-Accounting part Financial Ratio Topic Calculation part Interpretation part (based on your findings in the calculation part) Example: Given the financial statements : Income statement and...

Character, Incorporated, is analyzing a proposed project that is expected to have sales of 2,450 units, 8 percent. The expected variable cost per unit is $246 and the expected fixed costs are...

P8.6 (LO 3) Groupwork (Gross Profit Method) On April 15, 2025, fire damaged the office and warehouse of Stanislaw ASA. The only accounting record saved was the general ledger, from which the trial...

Discuss qualitative research designs in detail?